412884 has 24 divisors (see below), whose sum is σ = 1070720. Its totient is φ = 137592.

The previous prime is 412859. The next prime is 412891. The reversal of 412884 is 488214.

It is a super-4 number, since 4×412884⁴ (a number of 24 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

412884 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 7 ways as a sum of consecutive naturals, for example, 1804 + ... + 2019.

2⁴¹²⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

412884 is an abundant number, since it is smaller than the sum of its proper divisors (657836).

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

412884 is a wasteful number, since it uses less digits than its factorization.

412884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3828 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 412884 is about 642.5605029879. The cubic root of 412884 is about 74.4633695274.

It can be divided in two parts, 412 and 884, that added together give a 4-th power (1296 = 6⁴).

The spelling of 412884 in words is "four hundred twelve thousand, eight hundred eighty-four".