478419264 has 112 divisors (see below), whose sum is σ = 1455115200. Its totient is φ = 153957888.

The previous prime is 478419257. The next prime is 478419299. The reversal of 478419264 is 462914874.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45339 + ... + 54885.

It is an arithmetic number, because the mean of its divisors is an integer number (12992100).

Almost surely, 2^478419264 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 478419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727557600).

478419264 is an abundant number, since it is smaller than the sum of its proper divisors (976695936).

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

478419264 is a wasteful number, since it uses less digits than its factorization.

478419264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597 (or 9581 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 478419264 is about 21872.7973519621. The cubic root of 478419264 is about 782.1130868652.

The spelling of 478419264 in words is "four hundred seventy-eight million, four hundred nineteen thousand, two hundred sixty-four".