472296864 has 144 divisors (see below), whose sum is σ = 1375732512. Its totient is φ = 141732864.

The previous prime is 472296863. The next prime is 472296893. The reversal of 472296864 is 468692274.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (472296863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697294 + ... + 697970.

It is an arithmetic number, because the mean of its divisors is an integer number (9553698).

Almost surely, 2^472296864 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 472296864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687866256).

472296864 is an abundant number, since it is smaller than the sum of its proper divisors (903435648).

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

472296864 is a wasteful number, since it uses less digits than its factorization.

472296864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 738 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 472296864 is about 21732.3920450557. The cubic root of 472296864 is about 778.7624820846.

The spelling of 472296864 in words is "four hundred seventy-two million, two hundred ninety-six thousand, eight hundred sixty-four".