468322624 has 168 divisors, whose sum is σ = 1210592448. Its totient is φ = 174612480.

The previous prime is 468322607. The next prime is 468322637. The reversal of 468322624 is 426223864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4144392 + ... + 4144504.

Almost surely, 2^468322624 is an apocalyptic number.

468322624 is a gapful number since it is divisible by the number (44) 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 468322624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605296224).

468322624 is an abundant number, since it is smaller than the sum of its proper divisors (742269824).

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

468322624 is a wasteful number, since it uses less digits than its factorization.

468322624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 162 counting only the distinct ones).

The product of its digits is 110592, while the sum is 37.

The square root of 468322624 is about 21640.7630179714. The cubic root of 468322624 is about 776.5719735310.

The spelling of 468322624 in words is "four hundred sixty-eight million, three hundred twenty-two thousand, six hundred twenty-four".