473577680 has 20 divisors (see below), whose sum is σ = 1101068292. Its totient is φ = 189431040.

The previous prime is 473577661. The next prime is 473577691. The reversal of 473577680 is 86775374.

It can be written as a sum of positive squares in 2 ways, for example, as 154455184 + 319122496 = 12428^2 + 17864^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 2959781 + ... + 2959940.

Almost surely, 2^473577680 is an apocalyptic number.

473577680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

473577680 is an abundant number, since it is smaller than the sum of its proper divisors (627490612).

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

473577680 is a wasteful number, since it uses less digits than its factorization.

473577680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919734 (or 5919728 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 47.

The square root of 473577680 is about 21761.8399957357. The cubic root of 473577680 is about 779.4658187784.

The spelling of 473577680 in words is "four hundred seventy-three million, five hundred seventy-seven thousand, six hundred eighty".