249999957 has 12 divisors (see below), whose sum is σ = 364308204. Its totient is φ = 165191040.

The previous prime is 249999941. The next prime is 249999991. The reversal of 249999957 is 759999942.

249999957 is a `hidden beast` number, since 2 + 499 + 9 + 99 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13793796 + 236206161 = 3714^2 + 15369^2 .

It is not a de Polignac number, because 249999957 - 2⁴ = 249999941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 249999894 and 249999903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249999917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121894 + ... + 123927.

It is an arithmetic number, because the mean of its divisors is an integer number (30359017).

Almost surely, 2^249999957 is an apocalyptic number.

It is an amenable number.

249999957 is a deficient number, since it is larger than the sum of its proper divisors (114308247).

249999957 is a wasteful number, since it uses less digits than its factorization.

249999957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245940 (or 245937 counting only the distinct ones).

The product of its digits is 16533720, while the sum is 63.

The square root of 249999957 is about 15811.3869410624. The cubic root of 249999957 is about 629.9604888297.

The spelling of 249999957 in words is "two hundred forty-nine million, nine hundred ninety-nine thousand, nine hundred fifty-seven".