478416384 has 120 divisors (see below), whose sum is σ = 1410757920. Its totient is φ = 156079104.

The previous prime is 478416361. The next prime is 478416403. The reversal of 478416384 is 483614874.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

478416384 is a `hidden beast` number, since 4 + 7 + 8 + 4 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×478416384³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10179049 + ... + 10179095.

It is an arithmetic number, because the mean of its divisors is an integer number (11756316).

Almost surely, 2^478416384 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 478416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705378960).

478416384 is an abundant number, since it is smaller than the sum of its proper divisors (932341536).

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

478416384 is an frugal number, since it uses more digits than its factorization.

478416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 52 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 478416384 is about 21872.7315166625. The cubic root of 478416384 is about 782.1115174675. Note that the first 3 decimals are identical.

The spelling of 478416384 in words is "four hundred seventy-eight million, four hundred sixteen thousand, three hundred eighty-four".