479372784 has 80 divisors (see below), whose sum is σ = 1397589120. Its totient is φ = 140250880.

The previous prime is 479372767. The next prime is 479372801. The reversal of 479372784 is 487273974.

It is an interprime number because it is at equal distance from previous prime (479372767) and next prime (479372801).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342 + ... + 30965.

It is an arithmetic number, because the mean of its divisors is an integer number (17469864).

Almost surely, 2^479372784 is an apocalyptic number.

479372784 is a gapful number since it is divisible by the number (44) 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 479372784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698794560).

479372784 is an abundant number, since it is smaller than the sum of its proper divisors (918216336).

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

479372784 is a wasteful number, since it uses less digits than its factorization.

479372784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31358 (or 31352 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 51.

The square root of 479372784 is about 21894.5834397460. The cubic root of 479372784 is about 782.6323424116.

It can be divided in two parts, 47937 and 2784, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 479372784 in words is "four hundred seventy-nine million, three hundred seventy-two thousand, seven hundred eighty-four".