579420 has 96 divisors (see below), whose sum is σ = 1915200. Its totient is φ = 145152.

The previous prime is 579409. The next prime is 579427. The reversal of 579420 is 24975.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579427) by changing a digit.

579420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15642 + ... + 15678.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2⁵⁷⁹⁴²⁰ 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 579420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957600).

579420 is an abundant number, since it is smaller than the sum of its proper divisors (1335780).

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

579420 is a wasteful number, since it uses less digits than its factorization.

579420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 579420 is about 761.1964266863. The cubic root of 579420 is about 83.3677013797.

It can be divided in two parts, 579 and 420, that added together give a palindrome (999).

The spelling of 579420 in words is "five hundred seventy-nine thousand, four hundred twenty".