416465313 has 32 divisors (see below), whose sum is σ = 639260160. Its totient is φ = 238515840.

The previous prime is 416465279. The next prime is 416465321. The reversal of 416465313 is 313564614.

It is a de Polignac number, because none of the positive numbers 2^k-416465313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (416465333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402645 + ... + 403677.

It is an arithmetic number, because the mean of its divisors is an integer number (19976880).

Almost surely, 2^416465313 is an apocalyptic number.

It is an amenable number.

416465313 is a deficient number, since it is larger than the sum of its proper divisors (222794847).

416465313 is a wasteful number, since it uses less digits than its factorization.

416465313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709.

The product of its digits is 25920, while the sum is 33.

The square root of 416465313 is about 20407.4817897750. The cubic root of 416465313 is about 746.7804587370.

The spelling of 416465313 in words is "four hundred sixteen million, four hundred sixty-five thousand, three hundred thirteen".