479730816 has 128 divisors (see below), whose sum is σ = 1428326400. Its totient is φ = 158505984.

The previous prime is 479730799. The next prime is 479730817. The reversal of 479730816 is 618037974.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479730817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438366 + ... + 439458.

It is an arithmetic number, because the mean of its divisors is an integer number (11158800).

Almost surely, 2^479730816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714163200).

479730816 is an abundant number, since it is smaller than the sum of its proper divisors (948595584).

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

479730816 is a wasteful number, since it uses less digits than its factorization.

479730816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 479730816 is about 21902.7581824756. The cubic root of 479730816 is about 782.8271370134.

The spelling of 479730816 in words is "four hundred seventy-nine million, seven hundred thirty thousand, eight hundred sixteen".