472775680 has 88 divisors (see below), whose sum is σ = 1221518592. Its totient is φ = 174538752.

The previous prime is 472775671. The next prime is 472775701. The reversal of 472775680 is 86577274.

It is a self number, because there is not a number n which added to its sum of digits gives 472775680.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 63009 + ... + 70111.

Almost surely, 2^472775680 is an apocalyptic number.

472775680 is a gapful number since it is divisible by the number (40) 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 472775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610759296).

472775680 is an abundant number, since it is smaller than the sum of its proper divisors (748742912).

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

472775680 is a wasteful number, since it uses less digits than its factorization.

472775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 46.

The square root of 472775680 is about 21743.4054370515. The cubic root of 472775680 is about 779.0255637928.

The spelling of 472775680 in words is "four hundred seventy-two million, seven hundred seventy-five thousand, six hundred eighty".