478820 has 24 divisors (see below), whose sum is σ = 1020600. Its totient is φ = 188672.

The previous prime is 478813. The next prime is 478823. The reversal of 478820 is 28874.

478820 = T₅₆ + T₅₇ + ... + T₁₄₄.

It can be written as a sum of positive squares in 4 ways, for example, as 5476 + 473344 = 74^2 + 688^2 .

It is not an unprimeable number, because it can be changed into a prime (478823) by changing a digit.

478820 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 7 ways as a sum of consecutive naturals, for example, 1646 + ... + 1914.

It is an arithmetic number, because the mean of its divisors is an integer number (42525).

2⁴⁷⁸⁸²⁰ is an apocalyptic number.

It is an amenable number.

478820 is an abundant number, since it is smaller than the sum of its proper divisors (541780).

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

478820 is a wasteful number, since it uses less digits than its factorization.

478820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 478820 is about 691.9682073622. The cubic root of 478820 is about 78.2331398448.

The spelling of 478820 in words is "four hundred seventy-eight thousand, eight hundred twenty".