468624 has 40 divisors (see below), whose sum is σ = 1305472. Its totient is φ = 144000.

The previous prime is 468623. The next prime is 468641. The reversal of 468624 is 426864.

468624 is nontrivially palindromic in base 11.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 468591 and 468600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249 + ... + 999.

2⁴⁶⁸⁶²⁴ 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 468624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652736).

468624 is an abundant number, since it is smaller than the sum of its proper divisors (836848).

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

468624 is a wasteful number, since it uses less digits than its factorization.

468624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 769 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 468624 is about 684.5611733074. The cubic root of 468624 is about 77.6738518243.

The spelling of 468624 in words is "four hundred sixty-eight thousand, six hundred twenty-four".