477620576 has 96 divisors (see below), whose sum is σ = 1058158080. Its totient is φ = 211019776.

The previous prime is 477620573. The next prime is 477620587. The reversal of 477620576 is 675026774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477620573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737885 + ... + 738531.

It is an arithmetic number, because the mean of its divisors is an integer number (11022480).

Almost surely, 2^477620576 is an apocalyptic number.

477620576 is a gapful number since it is divisible by the number (46) 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 477620576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529079040).

477620576 is an abundant number, since it is smaller than the sum of its proper divisors (580537504).

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

477620576 is a wasteful number, since it uses less digits than its factorization.

477620576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 44.

The square root of 477620576 is about 21854.5321615449. The cubic root of 477620576 is about 781.6776164746.

It can be divided in two parts, 4776 and 20576, that added together give a palindrome (25352).

The spelling of 477620576 in words is "four hundred seventy-seven million, six hundred twenty thousand, five hundred seventy-six".