412872 has 16 divisors (see below), whose sum is σ = 1032240. Its totient is φ = 137616.

The previous prime is 412859. The next prime is 412891. The reversal of 412872 is 278214.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 17203 = 412872 / (4 + 1 + 2 + 8 + 7 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8578 + ... + 8625.

It is an arithmetic number, because the mean of its divisors is an integer number (64515).

2⁴¹²⁸⁷² is an apocalyptic number.

It is an amenable number.

412872 is an abundant number, since it is smaller than the sum of its proper divisors (619368).

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

412872 is a wasteful number, since it uses less digits than its factorization.

412872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17212 (or 17208 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 412872 is about 642.5511652779. The cubic root of 412872 is about 74.4626481230.

The spelling of 412872 in words is "four hundred twelve thousand, eight hundred seventy-two".