456960 has 144 divisors (see below), whose sum is σ = 1766016. Its totient is φ = 98304.

The previous prime is 456959. The next prime is 456979. The reversal of 456960 is 69654.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26872 + ... + 26888.

It is an arithmetic number, because the mean of its divisors is an integer number (12264).

2⁴⁵⁶⁹⁶⁰ is an apocalyptic number.

456960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883008).

456960 is an abundant number, since it is smaller than the sum of its proper divisors (1309056).

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

456960 is a wasteful number, since it uses less digits than its factorization.

456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 456960 is about 675.9881655769. The cubic root of 456960 is about 77.0239988162.

The spelling of 456960 in words is "four hundred fifty-six thousand, nine hundred sixty".