478264320 has 264 divisors, whose sum is σ = 1689904944. Its totient is φ = 125042688.

The previous prime is 478264271. The next prime is 478264351. The reversal of 478264320 is 23462874.

478264320 is a `hidden beast` number, since 4 + 7 + 8 + 2 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4469707 + ... + 4469813.

Almost surely, 2^478264320 is an apocalyptic number.

478264320 is a gapful number since it is divisible by the number (40) 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 478264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844952472).

478264320 is an abundant number, since it is smaller than the sum of its proper divisors (1211640624).

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

478264320 is a wasteful number, since it uses less digits than its factorization.

478264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 478264320 is about 21869.2551313482. The cubic root of 478264320 is about 782.0286443242.

The spelling of 478264320 in words is "four hundred seventy-eight million, two hundred sixty-four thousand, three hundred twenty".