478713384 has 96 divisors (see below), whose sum is σ = 1328464800. Its totient is φ = 155675520.

The previous prime is 478713371. The next prime is 478713397. The reversal of 478713384 is 483317874.

478713384 is a `hidden beast` number, since 478 + 71 + 33 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (478713371) and next prime (478713397).

Its product of digits (451584) is a multiple of the sum of its prime divisors (768).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1262907 + ... + 1263285.

It is an arithmetic number, because the mean of its divisors is an integer number (13838175).

Almost surely, 2^478713384 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 478713384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664232400).

478713384 is an abundant number, since it is smaller than the sum of its proper divisors (849751416).

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

478713384 is a wasteful number, since it uses less digits than its factorization.

478713384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 768 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 478713384 is about 21879.5197387877. The cubic root of 478713384 is about 782.2733284459.

The spelling of 478713384 in words is "four hundred seventy-eight million, seven hundred thirteen thousand, three hundred eighty-four".