412984 has 48 divisors (see below), whose sum is σ = 960120. Its totient is φ = 164160.

The previous prime is 412967. The next prime is 412987. The reversal of 412984 is 489214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21727 + ... + 21745.

2⁴¹²⁹⁸⁴ is an apocalyptic number.

412984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480060).

412984 is an abundant number, since it is smaller than the sum of its proper divisors (547136).

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

412984 is a wasteful number, since it uses less digits than its factorization.

412984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 45 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 412984 is about 642.6383119609. The cubic root of 412984 is about 74.4693806878.

It can be divided in two parts, 41 and 2984, that added together give a square (3025 = 55²).

The spelling of 412984 in words is "four hundred twelve thousand, nine hundred eighty-four".