472051008 has 252 divisors, whose sum is σ = 1604712564. Its totient is φ = 131788800.

The previous prime is 472051007. The next prime is 472051037. The reversal of 472051008 is 800150274.

It can be written as a sum of positive squares in 2 ways, for example, as 100641024 + 371409984 = 10032^2 + 19272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472051003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 905788 + ... + 906308.

It is an arithmetic number, because the mean of its divisors is an integer number (6367907).

Almost surely, 2^472051008 is an apocalyptic number.

472051008 is a gapful number since it is divisible by the number (48) 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 472051008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802356282).

472051008 is an abundant number, since it is smaller than the sum of its proper divisors (1132661556).

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

472051008 is a wasteful number, since it uses less digits than its factorization.

472051008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 472051008 is about 21726.7348674392. The cubic root of 472051008 is about 778.6273293340.

The spelling of 472051008 in words is "four hundred seventy-two million, fifty-one thousand, eight".