412360 has 48 divisors (see below), whose sum is σ = 1021140. Its totient is φ = 149760.

The previous prime is 412343. The next prime is 412387. The reversal of 412360 is 63214.

It can be written as a sum of positive squares in 6 ways, for example, as 196 + 412164 = 14^2 + 642^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6730 + ... + 6790.

2⁴¹²³⁶⁰ is an apocalyptic number.

412360 is a gapful number since it is divisible by the number (40) 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 412360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510570).

412360 is an abundant number, since it is smaller than the sum of its proper divisors (608780).

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

412360 is a wasteful number, since it uses less digits than its factorization.

412360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 412360 is about 642.1526298319. The cubic root of 412360 is about 74.4318551684.

Adding to 412360 its reverse (63214), we get a palindrome (475574).

It can be divided in two parts, 41 and 2360, that added together give a 4-th power (2401 = 7⁴).

The spelling of 412360 in words is "four hundred twelve thousand, three hundred sixty".