460043936352 has 576 divisors, whose sum is σ = 1773699572736. Its totient is φ = 109222318080.

The previous prime is 460043936347. The next prime is 460043936399. The reversal of 460043936352 is 253639340064.

460043936352 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 4 + 3 + 9 + 3 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 460043936298 and 460043936307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29685918 + ... + 29701410.

It is an arithmetic number, because the mean of its divisors is an integer number (3079339536).

Almost surely, 2^460043936352 is an apocalyptic number.

460043936352 is a gapful number since it is divisible by the number (42) 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 460043936352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886849786368).

460043936352 is an abundant number, since it is smaller than the sum of its proper divisors (1313655636384).

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

460043936352 is a wasteful number, since it uses less digits than its factorization.

460043936352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15643 (or 15632 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 460043936352 in words is "four hundred sixty billion, forty-three million, nine hundred thirty-six thousand, three hundred fifty-two".