468762624 has 270 divisors, whose sum is σ = 1569277164. Its totient is φ = 133693440.

The previous prime is 468762599. The next prime is 468762629. The reversal of 468762624 is 426267864.

It is a self number, because there is not a number n which added to its sum of digits gives 468762624.

It is not an unprimeable number, because it can be changed into a prime (468762629) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27574264 + ... + 27574280.

Almost surely, 2^468762624 is an apocalyptic number.

468762624 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 468762624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784638582).

468762624 is an abundant number, since it is smaller than the sum of its proper divisors (1100514540).

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

468762624 is a wasteful number, since it uses less digits than its factorization.

468762624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 33 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 468762624 is about 21650.9266314401. The cubic root of 468762624 is about 776.8150998842.

The spelling of 468762624 in words is "four hundred sixty-eight million, seven hundred sixty-two thousand, six hundred twenty-four".