456924 has 48 divisors (see below), whose sum is σ = 1199520. Its totient is φ = 134400.

The previous prime is 456923. The next prime is 456949. The reversal of 456924 is 429654.

456924 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 456891 and 456900.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4474 + ... + 4574.

It is an arithmetic number, because the mean of its divisors is an integer number (24990).

2⁴⁵⁶⁹²⁴ 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 456924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599760).

456924 is an abundant number, since it is smaller than the sum of its proper divisors (742596).

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

456924 is a wasteful number, since it uses less digits than its factorization.

456924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 456924 is about 675.9615373673. The cubic root of 456924 is about 77.0219760740.

Adding to 456924 its product of digits (8640), we get a palindrome (465564).

The spelling of 456924 in words is "four hundred fifty-six thousand, nine hundred twenty-four".