416312865 has 40 divisors (see below), whose sum is σ = 748090728. Its totient is φ = 221495040.

The previous prime is 416312843. The next prime is 416312873. The reversal of 416312865 is 568213614.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 414814689 = 1224^2 + 20367^2 .

It is not a de Polignac number, because 416312865 - 2⁶ = 416312801 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 210019 + ... + 211991.

Almost surely, 2^416312865 is an apocalyptic number.

416312865 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416312865 is a deficient number, since it is larger than the sum of its proper divisors (331777863).

416312865 is a wasteful number, since it uses less digits than its factorization.

416312865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2502 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 416312865 is about 20403.7463471785. The cubic root of 416312865 is about 746.6893274328.

The spelling of 416312865 in words is "four hundred sixteen million, three hundred twelve thousand, eight hundred sixty-five".