477252576 has 144 divisors (see below), whose sum is σ = 1431349920. Its totient is φ = 150543360.

The previous prime is 477252547. The next prime is 477252613. The reversal of 477252576 is 675252774.

477252576 is a `hidden beast` number, since 4 + 7 + 72 + 5 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721686 + ... + 722346.

It is an arithmetic number, because the mean of its divisors is an integer number (9939930).

Almost surely, 2^477252576 is an apocalyptic number.

477252576 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 477252576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715674960).

477252576 is an abundant number, since it is smaller than the sum of its proper divisors (954097344).

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

477252576 is a wasteful number, since it uses less digits than its factorization.

477252576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 798 counting only the distinct ones).

The product of its digits is 823200, while the sum is 45.

The square root of 477252576 is about 21846.1112328945. Note that the first 3 decimals coincide. The cubic root of 477252576 is about 781.4768076544.

The spelling of 477252576 in words is "four hundred seventy-seven million, two hundred fifty-two thousand, five hundred seventy-six".