472623984 has 200 divisors, whose sum is σ = 1591624320. Its totient is φ = 132596352.

The previous prime is 472623971. The next prime is 472623989. The reversal of 472623984 is 489326274.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472623989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 534807 + ... + 535689.

Almost surely, 2^472623984 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 472623984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795812160).

472623984 is an abundant number, since it is smaller than the sum of its proper divisors (1119000336).

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

472623984 is a wasteful number, since it uses less digits than its factorization.

472623984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 954 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 472623984 is about 21739.9168351675. The cubic root of 472623984 is about 778.9422348424.

The spelling of 472623984 in words is "four hundred seventy-two million, six hundred twenty-three thousand, nine hundred eighty-four".