405713457 has 12 divisors (see below), whose sum is σ = 586205620. Its totient is φ = 270394848.

The previous prime is 405713387. The next prime is 405713459. The reversal of 405713457 is 754317504.

It is a happy number.

405713457 is a `hidden beast` number, since 4 + 0 + 571 + 34 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 237129201 + 168584256 = 15399^2 + 12984^2 .

It is not a de Polignac number, because 405713457 - 2²⁴ = 388936241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405713459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52443 + ... + 59679.

Almost surely, 2^405713457 is an apocalyptic number.

It is an amenable number.

405713457 is a deficient number, since it is larger than the sum of its proper divisors (180492163).

405713457 is a wasteful number, since it uses less digits than its factorization.

405713457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13472 (or 13469 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 405713457 is about 20142.3299794239. The cubic root of 405713457 is about 740.2978208338.

The spelling of 405713457 in words is "four hundred five million, seven hundred thirteen thousand, four hundred fifty-seven".