479402560 has 224 divisors, whose sum is σ = 1427634432. Its totient is φ = 149299200.

The previous prime is 479402537. The next prime is 479402563. The reversal of 479402560 is 65204974.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479402563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2941039 + ... + 2941201.

It is an arithmetic number, because the mean of its divisors is an integer number (6373368).

Almost surely, 2^479402560 is an apocalyptic number.

479402560 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 479402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713817216).

479402560 is an abundant number, since it is smaller than the sum of its proper divisors (948231872).

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

479402560 is a wasteful number, since it uses less digits than its factorization.

479402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 479402560 is about 21895.2634147205. The cubic root of 479402560 is about 782.6485463479.

The spelling of 479402560 in words is "four hundred seventy-nine million, four hundred two thousand, five hundred sixty".