460636848 has 240 divisors, whose sum is σ = 1574184960. Its totient is φ = 128532096.

The previous prime is 460636829. The next prime is 460636871. The reversal of 460636848 is 848636064.

460636848 is a `hidden beast` number, since 4 + 6 + 0 + 636 + 8 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 994665 + ... + 995127.

It is an arithmetic number, because the mean of its divisors is an integer number (6559104).

Almost surely, 2^460636848 is an apocalyptic number.

460636848 is a gapful number since it is divisible by the number (48) 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 460636848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787092480).

460636848 is an abundant number, since it is smaller than the sum of its proper divisors (1113548112).

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

460636848 is a wasteful number, since it uses less digits than its factorization.

460636848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 460636848 is about 21462.4520500338. The cubic root of 460636848 is about 772.3003386344.

The spelling of 460636848 in words is "four hundred sixty million, six hundred thirty-six thousand, eight hundred forty-eight".