479070720 has 320 divisors, whose sum is σ = 1767744000. Its totient is φ = 122830848.

The previous prime is 479070719. The next prime is 479070733. The reversal of 479070720 is 27070974.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×479070720² = 459017509522636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004361 + ... + 2004599.

It is an arithmetic number, because the mean of its divisors is an integer number (5524200).

Almost surely, 2^479070720 is an apocalyptic number.

479070720 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 479070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883872000).

479070720 is an abundant number, since it is smaller than the sum of its proper divisors (1288673280).

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

479070720 is a wasteful number, since it uses less digits than its factorization.

479070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 479070720 is about 21887.6842082483. The cubic root of 479070720 is about 782.4679228924.

The spelling of 479070720 in words is "four hundred seventy-nine million, seventy thousand, seven hundred twenty".