460999872 has 168 divisors, whose sum is σ = 1377224576. Its totient is φ = 147308544.

The previous prime is 460999871. The next prime is 460999901. The reversal of 460999872 is 278999064.

460999872 is a `hidden beast` number, since 460 + 99 + 98 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (460999871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2067153 + ... + 2067375.

Almost surely, 2^460999872 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 460999872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688612288).

460999872 is an abundant number, since it is smaller than the sum of its proper divisors (916224704).

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

460999872 is a wasteful number, since it uses less digits than its factorization.

460999872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 460999872 is about 21470.9075728065. The cubic root of 460999872 is about 772.5031664809.

The spelling of 460999872 in words is "four hundred sixty million, nine hundred ninety-nine thousand, eight hundred seventy-two".