472765760 has 28 divisors (see below), whose sum is σ = 1125774228. Its totient is φ = 189106176.

The previous prime is 472765751. The next prime is 472765763. The reversal of 472765760 is 67567274.

It can be written as a sum of positive squares in 2 ways, for example, as 287370304 + 185395456 = 16952^2 + 13616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472765763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 738377 + ... + 739016.

Almost surely, 2^472765760 is an apocalyptic number.

472765760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472765760 is an abundant number, since it is smaller than the sum of its proper divisors (653008468).

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

472765760 is a wasteful number, since it uses less digits than its factorization.

472765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477410 (or 1477400 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 44.

The square root of 472765760 is about 21743.1773207137. The cubic root of 472765760 is about 779.0201151287.

The spelling of 472765760 in words is "four hundred seventy-two million, seven hundred sixty-five thousand, seven hundred sixty".