460468800 has 840 divisors, whose sum is σ = 2057948640. Its totient is φ = 99532800.

The previous prime is 460468793. The next prime is 460468843. The reversal of 460468800 is 8864064.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24235191 + ... + 24235209.

Almost surely, 2^460468800 is an apocalyptic number.

460468800 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 460468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028974320).

460468800 is an abundant number, since it is smaller than the sum of its proper divisors (1597479840).

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

460468800 is a wasteful number, since it uses less digits than its factorization.

460468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 460468800 is about 21458.5367627898. The cubic root of 460468800 is about 772.2064111993.

The spelling of 460468800 in words is "four hundred sixty million, four hundred sixty-eight thousand, eight hundred".