420588 has 36 divisors (see below), whose sum is σ = 1215760. Its totient is φ = 120096.

The previous prime is 420571. The next prime is 420593. The reversal of 420588 is 885024.

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420588.

It is an unprimeable number.

420588 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 11 ways as a sum of consecutive naturals, for example, 583 + ... + 1086.

2⁴²⁰⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

420588 is an abundant number, since it is smaller than the sum of its proper divisors (795172).

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

420588 is a wasteful number, since it uses less digits than its factorization.

420588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 420588 is about 648.5275630226. The cubic root of 420588 is about 74.9236556469.

The spelling of 420588 in words is "four hundred twenty thousand, five hundred eighty-eight".