472279824 has 45 divisors (see below), whose sum is σ = 1322457799. Its totient is φ = 157339680.

The previous prime is 472279817. The next prime is 472279867. The reversal of 472279824 is 428972274.

The square root of 472279824 is 21732.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 472279824.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 259879 + ... + 261689.

Almost surely, 2^472279824 is an apocalyptic number.

472279824 is the 21732-nd square number.

It is an amenable number.

472279824 is an abundant number, since it is smaller than the sum of its proper divisors (850177975).

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

472279824 is an equidigital number, since it uses as much as digits as its factorization.

472279824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 1816 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The cubic root of 472279824 is about 778.7531163140.

Multiplying 472279824 by its product of digits (451584), we get a square (213274012041216 = 14603904²).

The spelling of 472279824 in words is "four hundred seventy-two million, two hundred seventy-nine thousand, eight hundred twenty-four".