414396 has 30 divisors (see below), whose sum is σ = 1084160. Its totient is φ = 138024.

The previous prime is 414389. The next prime is 414397. The reversal of 414396 is 693414.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414397) by changing a digit.

414396 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 9 ways as a sum of consecutive naturals, for example, 316 + ... + 963.

2⁴¹⁴³⁹⁶ is an apocalyptic number.

It is an amenable number.

414396 is an abundant number, since it is smaller than the sum of its proper divisors (669764).

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

414396 is a wasteful number, since it uses less digits than its factorization.

414396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1284 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 414396 is about 643.7359707209. The cubic root of 414396 is about 74.5541548802.

It can be divided in two parts, 4 and 14396, that added together give a square (14400 = 120²).

The spelling of 414396 in words is "four hundred fourteen thousand, three hundred ninety-six".