478500 has 96 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 112000.

The previous prime is 478493. The next prime is 478523. The reversal of 478500 is 5874.

It is an unprimeable number.

478500 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 31 ways as a sum of consecutive naturals, for example, 16486 + ... + 16514.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2⁴⁷⁸⁵⁰⁰ 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 478500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

478500 is an abundant number, since it is smaller than the sum of its proper divisors (1093980).

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

478500 is a wasteful number, since it uses less digits than its factorization.

478500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 478500 is about 691.7369442209. The cubic root of 478500 is about 78.2157079750.

The spelling of 478500 in words is "four hundred seventy-eight thousand, five hundred".