475661808 has 240 divisors, whose sum is σ = 1494904320. Its totient is φ = 145939968.

The previous prime is 475661783. The next prime is 475661833. The reversal of 475661808 is 808166574.

It is a happy number.

475661808 is a `hidden beast` number, since 4 + 7 + 566 + 1 + 80 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (475661783) and next prime (475661833).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3471916 + ... + 3472052.

It is an arithmetic number, because the mean of its divisors is an integer number (6228768).

Almost surely, 2^475661808 is an apocalyptic number.

475661808 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 475661808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747452160).

475661808 is an abundant number, since it is smaller than the sum of its proper divisors (1019242512).

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

475661808 is a wasteful number, since it uses less digits than its factorization.

475661808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 475661808 is about 21809.6723496709. The cubic root of 475661808 is about 780.6075739502.

It can be divided in two parts, 4756 and 61808, that added together give a square (66564 = 258²).

The spelling of 475661808 in words is "four hundred seventy-five million, six hundred sixty-one thousand, eight hundred eight".