472777552 has 40 divisors (see below), whose sum is σ = 988389864. Its totient is φ = 217780224.

The previous prime is 472777483. The next prime is 472777567. The reversal of 472777552 is 255777274.

It can be written as a sum of positive squares in 4 ways, for example, as 5180176 + 467597376 = 2276^2 + 21624^2 .

It is a super-2 number, since 2×472777552² = 447037227350225408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121428 + ... + 125260.

Almost surely, 2^472777552 is an apocalyptic number.

It is an amenable number.

472777552 is an abundant number, since it is smaller than the sum of its proper divisors (515612312).

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

472777552 is a wasteful number, since it uses less digits than its factorization.

472777552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4441 counting only the distinct ones).

The product of its digits is 960400, while the sum is 46.

The square root of 472777552 is about 21743.4484845436. The cubic root of 472777552 is about 779.0265919999.

The spelling of 472777552 in words is "four hundred seventy-two million, seven hundred seventy-seven thousand, five hundred fifty-two".