460758104640 has 1008 divisors, whose sum is σ = 1793493187200. Its totient is φ = 108172247040.

The previous prime is 460758104617. The next prime is 460758104683. The reversal of 460758104640 is 46401857064.

460758104640 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 581 + 0 + 4 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2315367261 + ... + 2315367459.

Almost surely, 2^460758104640 is an apocalyptic number.

460758104640 is a gapful number since it is divisible by the number (40) 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 460758104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896746593600).

460758104640 is an abundant number, since it is smaller than the sum of its proper divisors (1332735082560).

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

460758104640 is a wasteful number, since it uses less digits than its factorization.

460758104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 460758104640 in words is "four hundred sixty billion, seven hundred fifty-eight million, one hundred four thousand, six hundred forty".