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421486464 = 2737295407
BaseRepresentation
bin11001000111110…
…101111110000000
31002101002201201210
4121013311332000
51330400031324
6105453530120
713305401340
oct3107657600
91071081653
10421486464
111a6a11023
12b91a3940
1369425499
143dd98d20
1527009d29
hex191f5f80

421486464 has 128 divisors (see below), whose sum is σ = 1323878400. Its totient is φ = 116250624.

The previous prime is 421486453. The next prime is 421486469. The reversal of 421486464 is 464684124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421486469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75249 + ... + 80655.

It is an arithmetic number, because the mean of its divisors is an integer number (10342800).

Almost surely, 2421486464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421486464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661939200).

421486464 is an abundant number, since it is smaller than the sum of its proper divisors (902391936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421486464 is a wasteful number, since it uses less digits than its factorization.

421486464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 5448 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 421486464 is about 20530.1355085640. The cubic root of 421486464 is about 749.7696857255.

The spelling of 421486464 in words is "four hundred twenty-one million, four hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 609 672 696 812 896 928 1218 1344 1392 1624 1856 2436 2688 2784 3248 3712 4872 5407 5568 6496 9744 10814 11136 12992 16221 19488 21628 25984 32442 37849 38976 43256 64884 75698 77952 86512 113547 129768 151396 156803 173024 227094 259536 302792 313606 346048 454188 470409 519072 605584 627212 692096 908376 940818 1038144 1097621 1211168 1254424 1816752 1881636 2076288 2195242 2422336 2508848 3292863 3633504 3763272 4390484 4844672 5017696 6585726 7267008 7526544 8780968 10035392 13171452 14534016 15053088 17561936 20070784 26342904 30106176 35123872 52685808 60212352 70247744 105371616 140495488 210743232 421486464