477479520 has 432 divisors, whose sum is σ = 1942759728. Its totient is φ = 106444800.

The previous prime is 477479503. The next prime is 477479521. The reversal of 477479520 is 25974774.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477479521) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4727470 + ... + 4727570.

It is an arithmetic number, because the mean of its divisors is an integer number (4497129).

Almost surely, 2^477479520 is an apocalyptic number.

477479520 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 477479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971379864).

477479520 is an abundant number, since it is smaller than the sum of its proper divisors (1465280208).

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

477479520 is a wasteful number, since it uses less digits than its factorization.

477479520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 477479520 is about 21851.3047665351. The cubic root of 477479520 is about 781.6006577759.

Subtracting from 477479520 its product of nonzero digits (493920), we obtain a square (476985600 = 21840²).

The spelling of 477479520 in words is "four hundred seventy-seven million, four hundred seventy-nine thousand, five hundred twenty".