457913416249 has 9 divisors (see below), whose sum is σ = 470649676077. Its totient is φ = 445513017024.

The previous prime is 457913416217. The next prime is 457913416283. The reversal of 457913416249 is 942614319754.

The square root of 457913416249 is 676693.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 371752381225 + 86161035024 = 609715^2 + 293532^2 .

It is not a de Polignac number, because 457913416249 - 2⁵ = 457913416217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 457913416249.

It is not an unprimeable number, because it can be changed into a prime (457913416349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25028497 + ... + 25046785.

It is an arithmetic number, because the mean of its divisors is an integer number (52294408453).

Almost surely, 2^457913416249 is an apocalyptic number.

457913416249 is the 676693-rd square number.

457913416249 is the 338347-th centered octagonal number.

It is an amenable number.

457913416249 is a deficient number, since it is larger than the sum of its proper divisors (12736259828).

457913416249 is an frugal number, since it uses more digits than its factorization.

457913416249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36652 (or 18326 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The spelling of 457913416249 in words is "four hundred fifty-seven billion, nine hundred thirteen million, four hundred sixteen thousand, two hundred forty-nine".