412384 has 36 divisors (see below), whose sum is σ = 948024. Its totient is φ = 176064.

The previous prime is 412343. The next prime is 412387. The reversal of 412384 is 483214.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412387) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1437 + ... + 1699.

It is an arithmetic number, because the mean of its divisors is an integer number (26334).

2⁴¹²³⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474012).

412384 is an abundant number, since it is smaller than the sum of its proper divisors (535640).

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

412384 is a wasteful number, since it uses less digits than its factorization.

412384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 412384 is about 642.1713167061. The cubic root of 412384 is about 74.4332991574.

Adding to 412384 its reverse (483214), we get a palindrome (895598).

The spelling of 412384 in words is "four hundred twelve thousand, three hundred eighty-four".