478651392 has 132 divisors (see below), whose sum is σ = 1394842176. Its totient is φ = 158085120.

The previous prime is 478651379. The next prime is 478651421. The reversal of 478651392 is 293156874.

478651392 is a `hidden beast` number, since 47 + 8 + 6 + 513 + 92 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (362880) is a multiple of the sum of its prime factors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1538917 + ... + 1539227.

Almost surely, 2^478651392 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 478651392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697421088).

478651392 is an abundant number, since it is smaller than the sum of its proper divisors (916190784).

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

478651392 is a wasteful number, since it uses less digits than its factorization.

478651392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 483 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 478651392 is about 21878.1030256282. The cubic root of 478651392 is about 782.2395596096.

The spelling of 478651392 in words is "four hundred seventy-eight million, six hundred fifty-one thousand, three hundred ninety-two".