477853128 has 64 divisors (see below), whose sum is σ = 1334160000. Its totient is φ = 158469696.

The previous prime is 477853093. The next prime is 477853133. The reversal of 477853128 is 821358774.

477853128 is a `hidden beast` number, since 47 + 78 + 531 + 2 + 8 = 666.

It is a super-2 number, since 2×477853128² = 456687223878768768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37426 + ... + 48542.

It is an arithmetic number, because the mean of its divisors is an integer number (20846250).

Almost surely, 2^477853128 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 477853128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667080000).

477853128 is an abundant number, since it is smaller than the sum of its proper divisors (856306872).

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

477853128 is a wasteful number, since it uses less digits than its factorization.

477853128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11331 (or 11321 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 477853128 is about 21859.8519665619. The cubic root of 477853128 is about 781.8044613716.

The spelling of 477853128 in words is "four hundred seventy-seven million, eight hundred fifty-three thousand, one hundred twenty-eight".