456900 has 36 divisors (see below), whose sum is σ = 1322832. Its totient is φ = 121760.

The previous prime is 456899. The next prime is 456901. The reversal of 456900 is 9654.

It is an interprime number because it is at equal distance from previous prime (456899) and next prime (456901).

It is a super-2 number, since 2×456900² = 417515220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462 + ... + 1061.

2⁴⁵⁶⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

456900 is an abundant number, since it is smaller than the sum of its proper divisors (865932).

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

456900 is a wasteful number, since it uses less digits than its factorization.

456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 456900 is about 675.9437846448. The cubic root of 456900 is about 77.0206275202.

The spelling of 456900 in words is "four hundred fifty-six thousand, nine hundred".