416326401 has 12 divisors (see below), whose sum is σ = 602339920. Its totient is φ = 277098840.

The previous prime is 416326397. The next prime is 416326441. The reversal of 416326401 is 104623614.

416326401 is a `hidden beast` number, since 4 + 16 + 3 + 2 + 640 + 1 = 666.

It is not a de Polignac number, because 416326401 - 2² = 416326397 is a prime.

It is a super-2 number, since 2×416326401² = 346655344339225602, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (416326441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31795 + ... + 42936.

Almost surely, 2^416326401 is an apocalyptic number.

It is an amenable number.

416326401 is a deficient number, since it is larger than the sum of its proper divisors (186013519).

416326401 is a wasteful number, since it uses less digits than its factorization.

416326401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75356 (or 75353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 416326401 is about 20404.0780482726. The cubic root of 416326401 is about 746.6974199661.

The spelling of 416326401 in words is "four hundred sixteen million, three hundred twenty-six thousand, four hundred one".