479072880 has 600 divisors, whose sum is σ = 2011496256. Its totient is φ = 104924160.

The previous prime is 479072857. The next prime is 479072921. The reversal of 479072880 is 88270974.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10193017 + ... + 10193063.

Almost surely, 2^479072880 is an apocalyptic number.

479072880 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 479072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005748128).

479072880 is an abundant number, since it is smaller than the sum of its proper divisors (1532423376).

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

479072880 is a wasteful number, since it uses less digits than its factorization.

479072880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 479072880 is about 21887.7335510098. The cubic root of 479072880 is about 782.4690988692.

The spelling of 479072880 in words is "four hundred seventy-nine million, seventy-two thousand, eight hundred eighty".