406565313 has 64 divisors (see below), whose sum is σ = 695101440. Its totient is φ = 205286400.

The previous prime is 406565309. The next prime is 406565321. The reversal of 406565313 is 313565604.

It is not a de Polignac number, because 406565313 - 2² = 406565309 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (406565303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1686873 + ... + 1687113.

It is an arithmetic number, because the mean of its divisors is an integer number (10860960).

Almost surely, 2^406565313 is an apocalyptic number.

It is an amenable number.

406565313 is a deficient number, since it is larger than the sum of its proper divisors (288536127).

406565313 is a wasteful number, since it uses less digits than its factorization.

406565313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438.

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 406565313 is about 20163.4648064265. The cubic root of 406565313 is about 740.8155805797.

It can be divided in two parts, 4065 and 65313, that added together give a triangular number (69378 = T₃₇₂).

The spelling of 406565313 in words is "four hundred six million, five hundred sixty-five thousand, three hundred thirteen".