468747864 has 96 divisors (see below), whose sum is σ = 1410051600. Its totient is φ = 144218880.

The previous prime is 468747863. The next prime is 468747871.

468747864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 468747864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468747863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30084 + ... + 42924.

Almost surely, 2^468747864 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 468747864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705025800).

468747864 is an abundant number, since it is smaller than the sum of its proper divisors (941303736).

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

468747864 is a wasteful number, since it uses less digits than its factorization.

468747864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12882 (or 12859 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 468747864 is about 21650.5857657478. The cubic root of 468747864 is about 776.8069465669.

The spelling of 468747864 in words is "four hundred sixty-eight million, seven hundred forty-seven thousand, eight hundred sixty-four".