456890 has 32 divisors (see below), whose sum is σ = 964224. Its totient is φ = 152640.

The previous prime is 456881. The next prime is 456899. The reversal of 456890 is 98654.

It is an interprime number because it is at equal distance from previous prime (456881) and next prime (456899).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456899) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4217 + ... + 4323.

It is an arithmetic number, because the mean of its divisors is an integer number (30132).

2⁴⁵⁶⁸⁹⁰ is an apocalyptic number.

456890 is an abundant number, since it is smaller than the sum of its proper divisors (507334).

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

456890 is a wasteful number, since it uses less digits than its factorization.

456890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 456890 is about 675.9363875395. The cubic root of 456890 is about 77.0200656089.

The spelling of 456890 in words is "four hundred fifty-six thousand, eight hundred ninety".