479820 has 48 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 116160.

The previous prime is 479813. The next prime is 479821. The reversal of 479820 is 28974.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (479821) by changing a digit.

479820 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, 297 + ... + 1023.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2⁴⁷⁹⁸²⁰ 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 479820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

479820 is an abundant number, since it is smaller than the sum of its proper divisors (987828).

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

479820 is a wasteful number, since it uses less digits than its factorization.

479820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 479820 is about 692.6904070362. The cubic root of 479820 is about 78.2875644306.

The spelling of 479820 in words is "four hundred seventy-nine thousand, eight hundred twenty".