460797315264 has 336 divisors, whose sum is σ = 1609178188800. Its totient is φ = 128893731840.

The previous prime is 460797315221. The next prime is 460797315271. The reversal of 460797315264 is 462513797064.

460797315264 is a `hidden beast` number, since 4 + 60 + 7 + 9 + 7 + 315 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 460797315264.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2120337 + ... + 2327535.

It is an arithmetic number, because the mean of its divisors is an integer number (4789220800).

Almost surely, 2^460797315264 is an apocalyptic number.

460797315264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460797315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804589094400).

460797315264 is an abundant number, since it is smaller than the sum of its proper divisors (1148380873536).

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

460797315264 is a wasteful number, since it uses less digits than its factorization.

460797315264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207250 (or 207228 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 460797315264 in words is "four hundred sixty billion, seven hundred ninety-seven million, three hundred fifteen thousand, two hundred sixty-four".