478278336 has 112 divisors (see below), whose sum is σ = 1363472000. Its totient is φ = 147474432.

The previous prime is 478278319. The next prime is 478278443. The reversal of 478278336 is 633872874.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 155340 + ... + 158388.

Almost surely, 2^478278336 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 478278336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681736000).

478278336 is an abundant number, since it is smaller than the sum of its proper divisors (885193664).

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

478278336 is a wasteful number, since it uses less digits than its factorization.

478278336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3116 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 478278336 is about 21869.5755788721. The cubic root of 478278336 is about 782.0362836190.

The spelling of 478278336 in words is "four hundred seventy-eight million, two hundred seventy-eight thousand, three hundred thirty-six".