249993860 has 24 divisors (see below), whose sum is σ = 533596056. Its totient is φ = 98357760.

The previous prime is 249993853. The next prime is 249993869. The reversal of 249993860 is 68399942.

249993860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3378244 + 246615616 = 1838^2 + 15704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 249993799 and 249993808.

It is not an unprimeable number, because it can be changed into a prime (249993869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101237 + ... + 103676.

It is an arithmetic number, because the mean of its divisors is an integer number (22233169).

Almost surely, 2^249993860 is an apocalyptic number.

249993860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249993860 is an abundant number, since it is smaller than the sum of its proper divisors (283602196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249993860 is a wasteful number, since it uses less digits than its factorization.

249993860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204983 (or 204981 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 50.

The square root of 249993860 is about 15811.1941358014. The cubic root of 249993860 is about 629.9553676284.

The spelling of 249993860 in words is "two hundred forty-nine million, nine hundred ninety-three thousand, eight hundred sixty".