478980 has 48 divisors (see below), whose sum is σ = 1491840. Its totient is φ = 127584.

The previous prime is 478967. The next prime is 478991. The reversal of 478980 is 89874.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

478980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (31080).

2⁴⁷⁸⁹⁸⁰ 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 478980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745920).

478980 is an abundant number, since it is smaller than the sum of its proper divisors (1012860).

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

478980 is a wasteful number, since it uses less digits than its factorization.

478980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 478980 is about 692.0838099537. The cubic root of 478980 is about 78.2418528674.

The spelling of 478980 in words is "four hundred seventy-eight thousand, nine hundred eighty".