420972 has 12 divisors (see below), whose sum is σ = 982296. Its totient is φ = 140320.

The previous prime is 420967. The next prime is 420977. The reversal of 420972 is 279024.

It is an interprime number because it is at equal distance from previous prime (420967) and next prime (420977).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (420977) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17529 + ... + 17552.

It is an arithmetic number, because the mean of its divisors is an integer number (81858).

2⁴²⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

420972 is an abundant number, since it is smaller than the sum of its proper divisors (561324).

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

420972 is a wasteful number, since it uses less digits than its factorization.

420972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35088 (or 35086 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 420972 is about 648.8235507440. The cubic root of 420972 is about 74.9464506642.

Adding to 420972 its reverse (279024), we get a palindrome (699996).

The spelling of 420972 in words is "four hundred twenty thousand, nine hundred seventy-two".