414168 has 16 divisors (see below), whose sum is σ = 1035480. Its totient is φ = 138048.

The previous prime is 414157. The next prime is 414179. The reversal of 414168 is 861414.

It is an interprime number because it is at equal distance from previous prime (414157) and next prime (414179).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 17257 = 414168 / (4 + 1 + 4 + 1 + 6 + 8).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8605 + ... + 8652.

2⁴¹⁴¹⁶⁸ is an apocalyptic number.

It is an amenable number.

414168 is an abundant number, since it is smaller than the sum of its proper divisors (621312).

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

414168 is a wasteful number, since it uses less digits than its factorization.

414168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17266 (or 17262 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 414168 is about 643.5588551174. The cubic root of 414168 is about 74.5404791805.

The spelling of 414168 in words is "four hundred fourteen thousand, one hundred sixty-eight".