479884416 has 128 divisors (see below), whose sum is σ = 1405347840. Its totient is φ = 143877120.

The previous prime is 479884369. The next prime is 479884417. The reversal of 479884416 is 614488974.

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

It is a super-2 number, since 2×479884416² = 460578105439322112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (479884417) 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, 434521 + ... + 435623.

It is an arithmetic number, because the mean of its divisors is an integer number (10979280).

Almost surely, 2^479884416 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 479884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702673920).

479884416 is an abundant number, since it is smaller than the sum of its proper divisors (925463424).

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

479884416 is a wasteful number, since it uses less digits than its factorization.

479884416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 479884416 is about 21906.2643095531. The cubic root of 479884416 is about 782.9106765134.

The spelling of 479884416 in words is "four hundred seventy-nine million, eight hundred eighty-four thousand, four hundred sixteen".