472306408 has 96 divisors (see below), whose sum is σ = 1088501760. Its totient is φ = 188127360.

The previous prime is 472306399. The next prime is 472306433. The reversal of 472306408 is 804603274.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232985 + ... + 1233367.

It is an arithmetic number, because the mean of its divisors is an integer number (11338560).

Almost surely, 2^472306408 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 472306408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544250880).

472306408 is an abundant number, since it is smaller than the sum of its proper divisors (616195352).

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

472306408 is a wasteful number, since it uses less digits than its factorization.

472306408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 472306408 is about 21732.6116240087. The cubic root of 472306408 is about 778.7677276971.

The spelling of 472306408 in words is "four hundred seventy-two million, three hundred six thousand, four hundred eight".