460004976 has 60 divisors (see below), whose sum is σ = 1295638552. Its totient is φ = 152350848.

The previous prime is 460004957. The next prime is 460004977. The reversal of 460004976 is 679400064.

460004976 is a `hidden beast` number, since 4 + 600 + 0 + 49 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 460004976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460004977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12435 + ... + 32781.

Almost surely, 2^460004976 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 460004976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647819276).

460004976 is an abundant number, since it is smaller than the sum of its proper divisors (835633576).

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

460004976 is a wasteful number, since it uses less digits than its factorization.

460004976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20518 (or 20509 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 460004976 is about 21447.7265928116. The cubic root of 460004976 is about 771.9470464005.

The spelling of 460004976 in words is "four hundred sixty million, four thousand, nine hundred seventy-six".