420372 has 18 divisors (see below), whose sum is σ = 1062698. Its totient is φ = 140112.

The previous prime is 420367. The next prime is 420383. The reversal of 420372 is 273024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 404496 + 15876 = 636^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

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 420372.

It is an unprimeable number.

420372 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5803 + ... + 5874.

2⁴²⁰³⁷² is an apocalyptic number.

It is an amenable number.

420372 is an abundant number, since it is smaller than the sum of its proper divisors (642326).

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

420372 is a wasteful number, since it uses less digits than its factorization.

420372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11687 (or 11682 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 420372 is about 648.3610105489. The cubic root of 420372 is about 74.9108273519.

Adding to 420372 its reverse (273024), we get a palindrome (693396).

The spelling of 420372 in words is "four hundred twenty thousand, three hundred seventy-two", and thus it is an iban number.