420684 has 24 divisors (see below), whose sum is σ = 1071168. Its totient is φ = 127440.

The previous prime is 420683. The next prime is 420691. The reversal of 420684 is 486024.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420684.

It is not an unprimeable number, because it can be changed into a prime (420683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1462 + ... + 1725.

It is an arithmetic number, because the mean of its divisors is an integer number (44632).

2⁴²⁰⁶⁸⁴ is an apocalyptic number.

420684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420684 is an abundant number, since it is smaller than the sum of its proper divisors (650484).

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

420684 is a wasteful number, since it uses less digits than its factorization.

420684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 420684 is about 648.6015726160. The cubic root of 420684 is about 74.9293557016.

The spelling of 420684 in words is "four hundred twenty thousand, six hundred eighty-four".