472614912 has 480 divisors, whose sum is σ = 1807565760. Its totient is φ = 119439360.

The previous prime is 472614881. The next prime is 472614917. The reversal of 472614912 is 219416274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (472614917) 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, 12773358 + ... + 12773394.

It is an arithmetic number, because the mean of its divisors is an integer number (3765762).

Almost surely, 2^472614912 is an apocalyptic number.

472614912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472614912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903782880).

472614912 is an abundant number, since it is smaller than the sum of its proper divisors (1334950848).

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

472614912 is a wasteful number, since it uses less digits than its factorization.

472614912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 472614912 is about 21739.7081857140. The cubic root of 472614912 is about 778.9372508880.

The spelling of 472614912 in words is "four hundred seventy-two million, six hundred fourteen thousand, nine hundred twelve".