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469390464 = 273515091
BaseRepresentation
bin11011111110100…
…101010010000000
31012201020111200000
4123332211102000
51430130443324
6114324400000
714426516214
oct3376452200
91181214600
10469390464
11220a60004
12111246000
137632884a
14464a8944
152b31d9c9
hex1bfa5480

469390464 has 96 divisors (see below), whose sum is σ = 1400839440. Its totient is φ = 156453120.

The previous prime is 469390393. The next prime is 469390483. The reversal of 469390464 is 464093964.

It is a happy number.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23559 + ... + 38649.

Almost surely, 2469390464 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 469390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700419720).

469390464 is an abundant number, since it is smaller than the sum of its proper divisors (931448976).

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

469390464 is an equidigital number, since it uses as much as digits as its factorization.

469390464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15120 (or 15096 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 469390464 is about 21665.4209282903. The cubic root of 469390464 is about 777.1617558017.

The spelling of 469390464 in words is "four hundred sixty-nine million, three hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15091 15552 30182 31104 45273 60364 90546 120728 135819 181092 241456 271638 362184 407457 482912 543276 724368 814914 965824 1086552 1222371 1448736 1629828 1931648 2173104 2444742 2897472 3259656 3667113 4346208 4889484 5794944 6519312 7334226 8692416 9778968 13038624 14668452 17384832 19557936 26077248 29336904 39115872 52154496 58673808 78231744 117347616 156463488 234695232 469390464