460923464960 has 144 divisors (see below), whose sum is σ = 1277751820800. Its totient is φ = 156030271488.

The previous prime is 460923464959. The next prime is 460923464977. The reversal of 460923464960 is 69464329064.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382256 + ... + 1033424.

Almost surely, 2^460923464960 is an apocalyptic number.

460923464960 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 460923464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638875910400).

460923464960 is an abundant number, since it is smaller than the sum of its proper divisors (816828355840).

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

460923464960 is an equidigital number, since it uses as much as digits as its factorization.

460923464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651276 (or 651262 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 53.

The spelling of 460923464960 in words is "four hundred sixty billion, nine hundred twenty-three million, four hundred sixty-four thousand, nine hundred sixty".