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466234464 = 25319443577
BaseRepresentation
bin11011110010100…
…010110001100000
31012111022011110010
4123302202301200
51423324000324
6114133004520
714360633103
oct3362426140
91174264403
10466234464
1121a1a4943
12110183740
13757921a7
1445cc673a
152ade8829
hex1bca2c60

466234464 has 96 divisors (see below), whose sum is σ = 1293425280. Its totient is φ = 146644992.

The previous prime is 466234463. The next prime is 466234487. The reversal of 466234464 is 464432664.

It is a tau number, because it is divible by the number of its divisors (96).

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 (466234463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807744 + ... + 808320.

It is an arithmetic number, because the mean of its divisors is an integer number (13473180).

Almost surely, 2466234464 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 466234464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646712640).

466234464 is an abundant number, since it is smaller than the sum of its proper divisors (827190816).

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

466234464 is a wasteful number, since it uses less digits than its factorization.

466234464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1044 counting only the distinct ones).

The product of its digits is 331776, while the sum is 39.

The square root of 466234464 is about 21592.4631295274. The cubic root of 466234464 is about 775.4160590821.

The spelling of 466234464 in words is "four hundred sixty-six million, two hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 443 456 577 608 886 912 1154 1329 1731 1772 1824 2308 2658 3462 3544 4616 5316 6924 7088 8417 9232 10632 10963 13848 14176 16834 18464 21264 21926 25251 27696 32889 33668 42528 43852 50502 55392 65778 67336 87704 101004 131556 134672 175408 202008 255611 263112 269344 350816 404016 511222 526224 766833 808032 1022444 1052448 1533666 2044888 3067332 4089776 4856609 6134664 8179552 9713218 12269328 14569827 19426436 24538656 29139654 38852872 58279308 77705744 116558616 155411488 233117232 466234464