420357 has 16 divisors (see below), whose sum is σ = 659072. Its totient is φ = 233280.

The previous prime is 420353. The next prime is 420361. The reversal of 420357 is 753024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420353) and next prime (420361).

It is not a de Polignac number, because 420357 - 2² = 420353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

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 420357.

It is not an unprimeable number, because it can be changed into a prime (420353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (41192).

2⁴²⁰³⁵⁷ is an apocalyptic number.

It is an amenable number.

420357 is a deficient number, since it is larger than the sum of its proper divisors (238715).

420357 is a wasteful number, since it uses less digits than its factorization.

420357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 420357 is about 648.3494428161. The cubic root of 420357 is about 74.9099363349.

It can be divided in two parts, 420 and 357, that added together give a palindrome (777).

The spelling of 420357 in words is "four hundred twenty thousand, three hundred fifty-seven".