479409320 has 64 divisors (see below), whose sum is σ = 1164240000. Its totient is φ = 176617728.

The previous prime is 479409313. The next prime is 479409331. The reversal of 479409320 is 23904974.

It is a super-2 number, since 2×479409320² = 459666592205724800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 341981 + ... + 343379.

It is an arithmetic number, because the mean of its divisors is an integer number (18191250).

Almost surely, 2^479409320 is an apocalyptic number.

479409320 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 479409320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582120000).

479409320 is an abundant number, since it is smaller than the sum of its proper divisors (684830680).

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

479409320 is a wasteful number, since it uses less digits than its factorization.

479409320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 479409320 is about 21895.4177854637. The cubic root of 479409320 is about 782.6522250095.

The spelling of 479409320 in words is "four hundred seventy-nine million, four hundred nine thousand, three hundred twenty".