479346336 has 240 divisors, whose sum is σ = 1668522240. Its totient is φ = 132088320.

The previous prime is 479346323. The next prime is 479346389. The reversal of 479346336 is 633643974.

479346336 is a `hidden beast` number, since 4 + 7 + 9 + 3 + 4 + 633 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 479346291 and 479346300.

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 39 ways as a sum of consecutive naturals, for example, 525721 + ... + 526631.

It is an arithmetic number, because the mean of its divisors is an integer number (6952176).

Almost surely, 2^479346336 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 479346336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834261120).

479346336 is an abundant number, since it is smaller than the sum of its proper divisors (1189175904).

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

479346336 is a wasteful number, since it uses less digits than its factorization.

479346336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 952 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 479346336 is about 21893.9794464140. The cubic root of 479346336 is about 782.6179489920.

The spelling of 479346336 in words is "four hundred seventy-nine million, three hundred forty-six thousand, three hundred thirty-six".