479567120 has 20 divisors (see below), whose sum is σ = 1114993740. Its totient is φ = 191826816.

The previous prime is 479567071. The next prime is 479567131. The reversal of 479567120 is 21765974.

479567120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 144384256 + 335182864 = 12016^2 + 18308^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 2997215 + ... + 2997374.

It is an arithmetic number, because the mean of its divisors is an integer number (55749687).

Almost surely, 2^479567120 is an apocalyptic number.

479567120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

479567120 is an abundant number, since it is smaller than the sum of its proper divisors (635426620).

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

479567120 is a wasteful number, since it uses less digits than its factorization.

479567120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994602 (or 5994596 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 479567120 is about 21899.0209826832. The cubic root of 479567120 is about 782.7380869010.

The spelling of 479567120 in words is "four hundred seventy-nine million, five hundred sixty-seven thousand, one hundred twenty".