478992 has 40 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 150016.

The previous prime is 478991. The next prime is 478999. The reversal of 478992 is 299874.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 478992.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 478992.

It is not an unprimeable number, because it can be changed into a prime (478991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523 + ... + 1109.

2⁴⁷⁸⁹⁹² 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 478992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

478992 is an abundant number, since it is smaller than the sum of its proper divisors (833424).

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

478992 is a wasteful number, since it uses less digits than its factorization.

478992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 478992 is about 692.0924793696. The cubic root of 478992 is about 78.2425062659.

The spelling of 478992 in words is "four hundred seventy-eight thousand, nine hundred ninety-two".