412944 has 40 divisors (see below), whose sum is σ = 1220160. Its totient is φ = 117888.

The previous prime is 412943. The next prime is 412949. The reversal of 412944 is 449214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412944.

It is not an unprimeable number, because it can be changed into a prime (412943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (30504).

2⁴¹²⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

412944 is an abundant number, since it is smaller than the sum of its proper divisors (807216).

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

412944 is a wasteful number, since it uses less digits than its factorization.

412944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1241 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 412944 is about 642.6071895023. The cubic root of 412944 is about 74.4669763401.

The spelling of 412944 in words is "four hundred twelve thousand, nine hundred forty-four".