456624 has 80 divisors (see below), whose sum is σ = 1507840. Its totient is φ = 129600.

The previous prime is 456623. The next prime is 456641. The reversal of 456624 is 426654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456623) 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, 2949 + ... + 3099.

It is an arithmetic number, because the mean of its divisors is an integer number (18848).

2⁴⁵⁶⁶²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753920).

456624 is an abundant number, since it is smaller than the sum of its proper divisors (1051216).

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

456624 is a wasteful number, since it uses less digits than its factorization.

456624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 456624 is about 675.7395948145. The cubic root of 456624 is about 77.0051157561.

The spelling of 456624 in words is "four hundred fifty-six thousand, six hundred twenty-four".