413705457 has 48 divisors (see below), whose sum is σ = 672235200. Its totient is φ = 242995200.

The previous prime is 413705441. The next prime is 413705459. The reversal of 413705457 is 754507314.

It is a happy number.

413705457 is a `hidden beast` number, since 41 + 3 + 70 + 545 + 7 = 666.

It is not a de Polignac number, because 413705457 - 2⁴ = 413705441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413705459) 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 47 ways as a sum of consecutive naturals, for example, 921169 + ... + 921617.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 2^413705457 is an apocalyptic number.

It is an amenable number.

413705457 is a deficient number, since it is larger than the sum of its proper divisors (258529743).

413705457 is a wasteful number, since it uses less digits than its factorization.

413705457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 731 counting only the distinct ones).

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

The square root of 413705457 is about 20339.7506621886. The cubic root of 413705457 is about 745.1271989770.

The spelling of 413705457 in words is "four hundred thirteen million, seven hundred five thousand, four hundred fifty-seven".