477393552 has 120 divisors (see below), whose sum is σ = 1388125440. Its totient is φ = 152997120.

The previous prime is 477393509. The next prime is 477393571. The reversal of 477393552 is 255393774.

477393552 is a `hidden beast` number, since 4 + 7 + 7 + 3 + 93 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 477393498 and 477393507.

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 23 ways as a sum of consecutive naturals, for example, 1022023 + ... + 1022489.

It is an arithmetic number, because the mean of its divisors is an integer number (11567712).

Almost surely, 2^477393552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477393552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694062720).

477393552 is an abundant number, since it is smaller than the sum of its proper divisors (910731888).

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

477393552 is a wasteful number, since it uses less digits than its factorization.

477393552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The square root of 477393552 is about 21849.3375643290. The cubic root of 477393552 is about 781.5537470879.

The spelling of 477393552 in words is "four hundred seventy-seven million, three hundred ninety-three thousand, five hundred fifty-two".