477676872 has 128 divisors (see below), whose sum is σ = 1405440000. Its totient is φ = 149905728.

The previous prime is 477676867. The next prime is 477676883. The reversal of 477676872 is 278676774.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 980613 + ... + 981099.

It is an arithmetic number, because the mean of its divisors is an integer number (10980000).

Almost surely, 2^477676872 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 477676872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702720000).

477676872 is an abundant number, since it is smaller than the sum of its proper divisors (927763128).

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

477676872 is a wasteful number, since it uses less digits than its factorization.

477676872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 750 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The square root of 477676872 is about 21855.8200944279. The cubic root of 477676872 is about 781.7083267612.

The spelling of 477676872 in words is "four hundred seventy-seven million, six hundred seventy-six thousand, eight hundred seventy-two".