472718592 has 252 divisors, whose sum is σ = 1508012100. Its totient is φ = 147308544.

The previous prime is 472718573. The next prime is 472718593. The reversal of 472718592 is 295817274.

It is a happy number.

472718592 is a `hidden beast` number, since 47 + 2 + 7 + 18 + 592 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203233536 + 269485056 = 14256^2 + 16416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472718593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3172534 + ... + 3172682.

It is an arithmetic number, because the mean of its divisors is an integer number (5984175).

Almost surely, 2^472718592 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 472718592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754006050).

472718592 is an abundant number, since it is smaller than the sum of its proper divisors (1035293508).

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

472718592 is an equidigital number, since it uses as much as digits as its factorization.

472718592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 472718592 is about 21742.0926315753. The cubic root of 472718592 is about 778.9942065668.

The spelling of 472718592 in words is "four hundred seventy-two million, seven hundred eighteen thousand, five hundred ninety-two".