414943164 has 18 divisors (see below), whose sum is σ = 1048884200. Its totient is φ = 138314376.

The previous prime is 414943141. The next prime is 414943181. The reversal of 414943164 is 461349414.

It is a happy number.

414943164 is a `hidden beast` number, since 4 + 1 + 494 + 3 + 164 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11526199 = 414943164 / (4 + 1 + 4 + 9 + 4 + 3 + 1 + 6 + 4).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5763064 + ... + 5763135.

Almost surely, 2^414943164 is an apocalyptic number.

It is an amenable number.

414943164 is an abundant number, since it is smaller than the sum of its proper divisors (633941036).

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

414943164 is a wasteful number, since it uses less digits than its factorization.

414943164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11526209 (or 11526204 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 414943164 is about 20370.1537549425. The cubic root of 414943164 is about 745.8695394871.

The spelling of 414943164 in words is "four hundred fourteen million, nine hundred forty-three thousand, one hundred sixty-four".