460894980 has 288 divisors, whose sum is σ = 1673118720. Its totient is φ = 93864960.

The previous prime is 460894937. The next prime is 460894991. The reversal of 460894980 is 89498064.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184626 + ... + 1185014.

It is an arithmetic number, because the mean of its divisors is an integer number (5809440).

Almost surely, 2^460894980 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 460894980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

460894980 is an abundant number, since it is smaller than the sum of its proper divisors (1212223740).

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

460894980 is a wasteful number, since it uses less digits than its factorization.

460894980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 460894980 is about 21468.4647797648. The cubic root of 460894980 is about 772.4445724310. Note that the first 3 decimals are identical.

The spelling of 460894980 in words is "four hundred sixty million, eight hundred ninety-four thousand, nine hundred eighty".