476345088 has 216 divisors, whose sum is σ = 1463585760. Its totient is φ = 148684800.

The previous prime is 476345087. The next prime is 476345147. The reversal of 476345088 is 880543674.

476345088 is a `hidden beast` number, since 4 + 7 + 634 + 5 + 0 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (476345087) 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 23 ways as a sum of consecutive naturals, for example, 4716238 + ... + 4716338.

It is an arithmetic number, because the mean of its divisors is an integer number (6775860).

Almost surely, 2^476345088 is an apocalyptic number.

476345088 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 476345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731792880).

476345088 is an abundant number, since it is smaller than the sum of its proper divisors (987240672).

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

476345088 is a wasteful number, since it uses less digits than its factorization.

476345088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 476345088 is about 21825.3313376911. The cubic root of 476345088 is about 780.9811715664.

The spelling of 476345088 in words is "four hundred seventy-six million, three hundred forty-five thousand, eighty-eight".