456890900 has 18 divisors (see below), whose sum is σ = 991453470. Its totient is φ = 182756320.

The previous prime is 456890873. The next prime is 456890923. The reversal of 456890900 is 9098654.

It can be written as a sum of positive squares in 3 ways, for example, as 53202436 + 403688464 = 7294^2 + 20092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2284355 + ... + 2284554.

Almost surely, 2^456890900 is an apocalyptic number.

It is an amenable number.

456890900 is an abundant number, since it is smaller than the sum of its proper divisors (534562570).

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

456890900 is a wasteful number, since it uses less digits than its factorization.

456890900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568923 (or 4568916 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 456890900 is about 21375.0064327476. The cubic root of 456890900 is about 770.2011618121.

The spelling of 456890900 in words is "four hundred fifty-six million, eight hundred ninety thousand, nine hundred".