420084 has 36 divisors (see below), whose sum is σ = 1214304. Its totient is φ = 119952.

The previous prime is 420073. The next prime is 420097. The reversal of 420084 is 480024.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582 + ... + 1085.

2⁴²⁰⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

420084 is an abundant number, since it is smaller than the sum of its proper divisors (794220).

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

420084 is a wasteful number, since it uses less digits than its factorization.

420084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 420084 is about 648.1388740077. The cubic root of 420084 is about 74.8937161210.

The spelling of 420084 in words is "four hundred twenty thousand, eighty-four".