477676752 has 80 divisors (see below), whose sum is σ = 1414230912. Its totient is φ = 136097280.

The previous prime is 477676747. The next prime is 477676763. The reversal of 477676752 is 257676774.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 477676695 and 477676704.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 131602 + ... + 135182.

Almost surely, 2^477676752 is an apocalyptic number.

477676752 is a gapful number since it is divisible by the number (42) 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 477676752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707115456).

477676752 is an abundant number, since it is smaller than the sum of its proper divisors (936554160).

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

477676752 is a wasteful number, since it uses less digits than its factorization.

477676752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3990 counting only the distinct ones).

The product of its digits is 3457440, while the sum is 51.

The square root of 477676752 is about 21855.8173491636. The cubic root of 477676752 is about 781.7082613020.

The spelling of 477676752 in words is "four hundred seventy-seven million, six hundred seventy-six thousand, seven hundred fifty-two".