472777120 has 48 divisors (see below), whose sum is σ = 1147137768. Its totient is φ = 183997440.

The previous prime is 472777093. The next prime is 472777147. The reversal of 472777120 is 21777274.

It is an interprime number because it is at equal distance from previous prime (472777093) and next prime (472777147).

It can be written as a sum of positive squares in 4 ways, for example, as 471584656 + 1192464 = 21716^2 + 1092^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 472777120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34011 + ... + 45850.

Almost surely, 2^472777120 is an apocalyptic number.

472777120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472777120 is an abundant number, since it is smaller than the sum of its proper divisors (674360648).

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

472777120 is a wasteful number, since it uses less digits than its factorization.

472777120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79913 (or 79905 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 37.

The square root of 472777120 is about 21743.4385505145. The cubic root of 472777120 is about 779.0263547216.

The spelling of 472777120 in words is "four hundred seventy-two million, seven hundred seventy-seven thousand, one hundred twenty".