414008 has 16 divisors (see below), whose sum is σ = 887280. Its totient is φ = 177408.

The previous prime is 413981. The next prime is 414013. The reversal of 414008 is 800414.

It is a happy number.

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, 3641 + ... + 3752.

It is an arithmetic number, because the mean of its divisors is an integer number (55455).

2⁴¹⁴⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

414008 is an abundant number, since it is smaller than the sum of its proper divisors (473272).

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

414008 is a wasteful number, since it uses less digits than its factorization.

414008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7406 (or 7402 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 414008 is about 643.4345343545. The cubic root of 414008 is about 74.5308792011.

The spelling of 414008 in words is "four hundred fourteen thousand, eight".