416565401 has 16 divisors (see below), whose sum is σ = 485147520. Its totient is φ = 350282880.

The previous prime is 416565349. The next prime is 416565403. The reversal of 416565401 is 104565614.

It is a cyclic number.

It is not a de Polignac number, because 416565401 - 2⁶ = 416565337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416565403) 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, 198365 + ... + 200453.

It is an arithmetic number, because the mean of its divisors is an integer number (30321720).

Almost surely, 2^416565401 is an apocalyptic number.

It is an amenable number.

416565401 is a deficient number, since it is larger than the sum of its proper divisors (68582119).

416565401 is a wasteful number, since it uses less digits than its factorization.

416565401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624.

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 416565401 is about 20409.9338803437. The cubic root of 416565401 is about 746.8402778650.

The spelling of 416565401 in words is "four hundred sixteen million, five hundred sixty-five thousand, four hundred one".