414164399 has 16 divisors (see below), whose sum is σ = 471121920. Its totient is φ = 360632160.

The previous prime is 414164393. The next prime is 414164447. The reversal of 414164399 is 993461414.

It is a cyclic number.

It is not a de Polignac number, because 414164399 - 2⁸ = 414164143 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414164393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35402 + ... + 45624.

It is an arithmetic number, because the mean of its divisors is an integer number (29445120).

Almost surely, 2^414164399 is an apocalyptic number.

414164399 is a deficient number, since it is larger than the sum of its proper divisors (56957521).

414164399 is a wasteful number, since it uses less digits than its factorization.

414164399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10390.

The product of its digits is 93312, while the sum is 41.

The square root of 414164399 is about 20351.0294334218. The cubic root of 414164399 is about 745.4026314816.

The spelling of 414164399 in words is "four hundred fourteen million, one hundred sixty-four thousand, three hundred ninety-nine".