405920313 has 36 divisors (see below), whose sum is σ = 625445028. Its totient is φ = 253627200.

The previous prime is 405920299. The next prime is 405920357. The reversal of 405920313 is 313029504.

405920313 is a `hidden beast` number, since 40 + 592 + 0 + 31 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 355963689 + 49956624 = 18867^2 + 7068^2 .

It is not a de Polignac number, because 405920313 - 2⁴ = 405920297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405920363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 327531 + ... + 328767.

It is an arithmetic number, because the mean of its divisors is an integer number (17373473).

Almost surely, 2^405920313 is an apocalyptic number.

It is an amenable number.

405920313 is a deficient number, since it is larger than the sum of its proper divisors (219524715).

405920313 is a wasteful number, since it uses less digits than its factorization.

405920313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 405920313 is about 20147.4641828693. The cubic root of 405920313 is about 740.4236148928.

Adding to 405920313 its reverse (313029504), we get a palindrome (718949817).

The spelling of 405920313 in words is "four hundred five million, nine hundred twenty thousand, three hundred thirteen".