460407900 has 72 divisors (see below), whose sum is σ = 1336720000. Its totient is φ = 122351040.

The previous prime is 460407863. The next prime is 460407917. The reversal of 460407900 is 9704064.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89601 + ... + 94599.

Almost surely, 2^460407900 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 460407900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668360000).

460407900 is an abundant number, since it is smaller than the sum of its proper divisors (876312100).

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

460407900 is a wasteful number, since it uses less digits than its factorization.

460407900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5323 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 460407900 is about 21457.1177001945. The cubic root of 460407900 is about 772.1723665881.

The spelling of 460407900 in words is "four hundred sixty million, four hundred seven thousand, nine hundred".