476338560 has 256 divisors, whose sum is σ = 1607454720. Its totient is φ = 119808000.

The previous prime is 476338559. The next prime is 476338627. The reversal of 476338560 is 65833674.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3154485 + ... + 3154635.

It is an arithmetic number, because the mean of its divisors is an integer number (6279120).

Almost surely, 2^476338560 is an apocalyptic number.

476338560 is a gapful number since it is divisible by the number (40) 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 476338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803727360).

476338560 is an abundant number, since it is smaller than the sum of its proper divisors (1131116160).

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

476338560 is a wasteful number, since it uses less digits than its factorization.

476338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 476338560 is about 21825.1817861845. The cubic root of 476338560 is about 780.9776039369.

The spelling of 476338560 in words is "four hundred seventy-six million, three hundred thirty-eight thousand, five hundred sixty".