476368128 has 90 divisors (see below), whose sum is σ = 1420505394. Its totient is φ = 158782464.

The previous prime is 476368127. The next prime is 476368201. The reversal of 476368128 is 821863674.

476368128 is a `hidden beast` number, since 4 + 7 + 636 + 8 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 418120704 + 58247424 = 20448^2 + 7632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476368127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9250 + ... + 32222.

Almost surely, 2^476368128 is an apocalyptic number.

476368128 is a gapful number since it is divisible by the number (48) 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 476368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710252697).

476368128 is an abundant number, since it is smaller than the sum of its proper divisors (944137266).

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

476368128 is an equidigital number, since it uses as much as digits as its factorization.

476368128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23001 (or 22978 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 476368128 is about 21825.8591583470. The cubic root of 476368128 is about 780.9937629394.

The spelling of 476368128 in words is "four hundred seventy-six million, three hundred sixty-eight thousand, one hundred twenty-eight".