460960900 has 81 divisors (see below), whose sum is σ = 1065127791. Its totient is φ = 173134080.

The previous prime is 460960883. The next prime is 460960921. The reversal of 460960900 is 9069064.

The square root of 460960900 is 21470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 234518596 + 226442304 = 15314^2 + 15048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4079244 + ... + 4079356.

Almost surely, 2^460960900 is an apocalyptic number.

460960900 is the 21470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460960900

460960900 is an abundant number, since it is smaller than the sum of its proper divisors (604166891).

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

460960900 is a wasteful number, since it uses less digits than its factorization.

460960900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The cubic root of 460960900 is about 772.4813972472.

Multiplying 460960900 by its product of nonzero digits (11664), we get a square (5376647937600 = 2318760²).

The spelling of 460960900 in words is "four hundred sixty million, nine hundred sixty thousand, nine hundred".