478137384 has 128 divisors (see below), whose sum is σ = 1411776000. Its totient is φ = 149651712.

The previous prime is 478137307. The next prime is 478137389. The reversal of 478137384 is 483731874.

It is not an unprimeable number, because it can be changed into a prime (478137389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230737 + ... + 232799.

It is an arithmetic number, because the mean of its divisors is an integer number (11029500).

Almost surely, 2^478137384 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 478137384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705888000).

478137384 is an abundant number, since it is smaller than the sum of its proper divisors (933638616).

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

478137384 is a wasteful number, since it uses less digits than its factorization.

478137384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2134 counting only the distinct ones).

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

The square root of 478137384 is about 21866.3527823000. The cubic root of 478137384 is about 781.9594522008.

The spelling of 478137384 in words is "four hundred seventy-eight million, one hundred thirty-seven thousand, three hundred eighty-four".