460846336 has 54 divisors (see below), whose sum is σ = 977343710. Its totient is φ = 216834048.

The previous prime is 460846283. The next prime is 460846357. The reversal of 460846336 is 633648064.

It can be written as a sum of positive squares in 3 ways, for example, as 187142400 + 273703936 = 13680^2 + 16544^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70870 + ... + 77098.

Almost surely, 2^460846336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460846336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488671855).

460846336 is an abundant number, since it is smaller than the sum of its proper divisors (516497374).

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

460846336 is an equidigital number, since it uses as much as digits as its factorization.

460846336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The square root of 460846336 is about 21467.3318323447. The cubic root of 460846336 is about 772.4173962358.

The spelling of 460846336 in words is "four hundred sixty million, eight hundred forty-six thousand, three hundred thirty-six".