456920 has 16 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 182752.

The previous prime is 456901. The next prime is 456923. The reversal of 456920 is 29654.

It is a self number, because there is not a number n which added to its sum of digits gives 456920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5672 + ... + 5751.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

2⁴⁵⁶⁹²⁰ is an apocalyptic number.

456920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456920 is an abundant number, since it is smaller than the sum of its proper divisors (571240).

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

456920 is a wasteful number, since it uses less digits than its factorization.

456920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11434 (or 11430 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 456920 is about 675.9585786126. The cubic root of 456920 is about 77.0217513183.

The spelling of 456920 in words is "four hundred fifty-six thousand, nine hundred twenty".