460485800 has 96 divisors (see below), whose sum is σ = 1141801920. Its totient is φ = 172108800.

The previous prime is 460485799. The next prime is 460485821. The reversal of 460485800 is 8584064.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567395 + ... + 568205.

It is an arithmetic number, because the mean of its divisors is an integer number (11893770).

Almost surely, 2^460485800 is an apocalyptic number.

460485800 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 460485800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570900960).

460485800 is an abundant number, since it is smaller than the sum of its proper divisors (681316120).

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

460485800 is a wasteful number, since it uses less digits than its factorization.

460485800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 460485800 is about 21458.9328718834. The cubic root of 460485800 is about 772.2159140853.

The spelling of 460485800 in words is "four hundred sixty million, four hundred eighty-five thousand, eight hundred".