478462464 has 200 divisors, whose sum is σ = 1455688080. Its totient is φ = 156432384.

The previous prime is 478462441. The next prime is 478462469. The reversal of 478462464 is 464264874.

Its product of digits (1032192) is a multiple of the sum of its prime factors (252).

It is not an unprimeable number, because it can be changed into a prime (478462469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3442107 + ... + 3442245.

Almost surely, 2^478462464 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 478462464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727844040).

478462464 is an abundant number, since it is smaller than the sum of its proper divisors (977225616).

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

478462464 is an equidigital number, since it uses as much as digits as its factorization.

478462464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 478462464 is about 21873.7848576784. The cubic root of 478462464 is about 782.1366270742.

The spelling of 478462464 in words is "four hundred seventy-eight million, four hundred sixty-two thousand, four hundred sixty-four".