460054980 has 288 divisors, whose sum is σ = 1832463360. Its totient is φ = 90512640.

The previous prime is 460054951. The next prime is 460054997. The reversal of 460054980 is 89450064.

460054980 is a `hidden beast` number, since 4 + 600 + 5 + 49 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 262467 + ... + 264213.

It is an arithmetic number, because the mean of its divisors is an integer number (6362720).

Almost surely, 2^460054980 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 460054980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916231680).

460054980 is an abundant number, since it is smaller than the sum of its proper divisors (1372408380).

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

460054980 is a wasteful number, since it uses less digits than its factorization.

460054980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 460054980 is about 21448.8922790898. The cubic root of 460054980 is about 771.9750164179.

The spelling of 460054980 in words is "four hundred sixty million, fifty-four thousand, nine hundred eighty".