472801536 has 135 divisors (see below), whose sum is σ = 1419206943. Its totient is φ = 156556800.

The previous prime is 472801531. The next prime is 472801559. The reversal of 472801536 is 635108274.

The square root of 472801536 is 21744.

It is a perfect power (a square), and thus also a powerful number.

472801536 is a `hidden beast` number, since 47 + 2 + 80 + 1 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 472801536.

It is not an unprimeable number, because it can be changed into a prime (472801531) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3131061 + ... + 3131211.

Almost surely, 2^472801536 is an apocalyptic number.

472801536 is the 21744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472801536

472801536 is an abundant number, since it is smaller than the sum of its proper divisors (946405407).

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

472801536 is an frugal number, since it uses more digits than its factorization.

472801536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 472801536 is about 779.0397651139.

Multiplying 472801536 by its sum of digits (36), we get a square (17020855296 = 130464²).

472801536 divided by its sum of digits (36) gives a square (13133376 = 3624²).

The spelling of 472801536 in words is "four hundred seventy-two million, eight hundred one thousand, five hundred thirty-six".