412368 has 60 divisors (see below), whose sum is σ = 1187424. Its totient is φ = 123200.

The previous prime is 412343. The next prime is 412387. The reversal of 412368 is 863214.

It is a happy number.

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

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

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

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, 5773 + ... + 5843.

2⁴¹²³⁶⁸ is an apocalyptic number.

412368 is a gapful number since it is divisible by the number (48) 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 412368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712).

412368 is an abundant number, since it is smaller than the sum of its proper divisors (775056).

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

412368 is a wasteful number, since it uses less digits than its factorization.

412368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

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

The square root of 412368 is about 642.1588588504. The cubic root of 412368 is about 74.4323365043.

It can be divided in two parts, 412 and 368, that added together give a triangular number (780 = T₃₉).

The spelling of 412368 in words is "four hundred twelve thousand, three hundred sixty-eight".