460611872 has 192 divisors, whose sum is σ = 1173553920. Its totient is φ = 173408256.

The previous prime is 460611863. The next prime is 460611881. The reversal of 460611872 is 278116064.

It is an interprime number because it is at equal distance from previous prime (460611863) and next prime (460611881).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4748528 + ... + 4748624.

It is an arithmetic number, because the mean of its divisors is an integer number (6112260).

Almost surely, 2^460611872 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 460611872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586776960).

460611872 is an abundant number, since it is smaller than the sum of its proper divisors (712942048).

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

460611872 is a wasteful number, since it uses less digits than its factorization.

460611872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 460611872 is about 21461.8701887790. The cubic root of 460611872 is about 772.2863801897.

The spelling of 460611872 in words is "four hundred sixty million, six hundred eleven thousand, eight hundred seventy-two".