460412300960 has 96 divisors (see below), whose sum is σ = 1125680749200. Its totient is φ = 177743462400.

The previous prime is 460412300923. The next prime is 460412300983. The reversal of 460412300960 is 69003214064.

It can be written as a sum of positive squares in 8 ways, for example, as 5235390736 + 455176910224 = 72356^2 + 674668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 460412300960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12458510 + ... + 12495410.

Almost surely, 2^460412300960 is an apocalyptic number.

460412300960 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 460412300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562840374600).

460412300960 is an abundant number, since it is smaller than the sum of its proper divisors (665268448240).

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

460412300960 is a wasteful number, since it uses less digits than its factorization.

460412300960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39634 (or 39626 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 460412300960 in words is "four hundred sixty billion, four hundred twelve million, three hundred thousand, nine hundred sixty".