479831688 has 192 divisors, whose sum is σ = 1583487360. Its totient is φ = 133249536.

The previous prime is 479831669. The next prime is 479831707. The reversal of 479831688 is 886138974.

479831688 is a `hidden beast` number, since 479 + 8 + 3 + 168 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (479831669) and next prime (479831707).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 503020 + ... + 503972.

It is an arithmetic number, because the mean of its divisors is an integer number (8247330).

Almost surely, 2^479831688 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 479831688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791743680).

479831688 is an abundant number, since it is smaller than the sum of its proper divisors (1103655672).

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

479831688 is a wasteful number, since it uses less digits than its factorization.

479831688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1002 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 479831688 is about 21905.0607851245. The cubic root of 479831688 is about 782.8820009790.

The spelling of 479831688 in words is "four hundred seventy-nine million, eight hundred thirty-one thousand, six hundred eighty-eight".