412824 has 32 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 135456.

The previous prime is 412807. The next prime is 412831. The reversal of 412824 is 428214.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 412824.

It is a congruent number.

It is an unprimeable number.

412824 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, 2389 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁴¹²⁸²⁴ is an apocalyptic number.

It is an amenable number.

412824 is an abundant number, since it is smaller than the sum of its proper divisors (635496).

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

412824 is a wasteful number, since it uses less digits than its factorization.

412824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 412824 is about 642.5138130811. The cubic root of 412824 is about 74.4597623653.

The spelling of 412824 in words is "four hundred twelve thousand, eight hundred twenty-four".