414399 has 8 divisors (see below), whose sum is σ = 564480. Its totient is φ = 270296.

The previous prime is 414397. The next prime is 414413. The reversal of 414399 is 993414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414399 - 2¹ = 414397 is a prime.

414399 is a lucky number.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1329 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

2⁴¹⁴³⁹⁹ is an apocalyptic number.

414399 is a deficient number, since it is larger than the sum of its proper divisors (150081).

414399 is a wasteful number, since it uses less digits than its factorization.

414399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989.

The product of its digits is 3888, while the sum is 30.

The square root of 414399 is about 643.7383008646. The cubic root of 414399 is about 74.5543347902.

The spelling of 414399 in words is "four hundred fourteen thousand, three hundred ninety-nine".