472248864 has 72 divisors (see below), whose sum is σ = 1352873340. Its totient is φ = 156254208.

The previous prime is 472248859. The next prime is 472248869. The reversal of 472248864 is 468842274.

It is an interprime number because it is at equal distance from previous prime (472248859) and next prime (472248869).

It can be written as a sum of positive squares in 2 ways, for example, as 453690000 + 18558864 = 21300^2 + 4308^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (472248869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33472 + ... + 45440.

Almost surely, 2^472248864 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 472248864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676436670).

472248864 is an abundant number, since it is smaller than the sum of its proper divisors (880624476).

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

472248864 is a wasteful number, since it uses less digits than its factorization.

472248864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12122 (or 12111 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 472248864 is about 21731.2876746869. The cubic root of 472248864 is about 778.7360990556.

The spelling of 472248864 in words is "four hundred seventy-two million, two hundred forty-eight thousand, eight hundred sixty-four".