416866401 has 24 divisors (see below), whose sum is σ = 728642304. Its totient is φ = 224196480.

The previous prime is 416866391. The next prime is 416866423. The reversal of 416866401 is 104668614.

416866401 is a `hidden beast` number, since 4 + 1 + 6 + 8 + 6 + 640 + 1 = 666.

It is not a de Polignac number, because 416866401 - 2⁵ = 416866369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416866481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193545 + ... + 195686.

It is an arithmetic number, because the mean of its divisors is an integer number (30360096).

Almost surely, 2^416866401 is an apocalyptic number.

It is an amenable number.

416866401 is a deficient number, since it is larger than the sum of its proper divisors (311775903).

416866401 is a wasteful number, since it uses less digits than its factorization.

416866401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389261 (or 389258 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 416866401 is about 20417.3064090247. The cubic root of 416866401 is about 747.0201174133.

The spelling of 416866401 in words is "four hundred sixteen million, eight hundred sixty-six thousand, four hundred one".