249349840 has 20 divisors (see below), whose sum is σ = 579738564. Its totient is φ = 99739904.

The previous prime is 249349783. The next prime is 249349847. The reversal of 249349840 is 48943942.

249349840 is digitally balanced in base 3, 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 2 ways, for example, as 105925264 + 143424576 = 10292^2 + 11976^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249349847) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1558357 + ... + 1558516.

Almost surely, 2^249349840 is an apocalyptic number.

249349840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249349840 is an abundant number, since it is smaller than the sum of its proper divisors (330388724).

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

249349840 is a wasteful number, since it uses less digits than its factorization.

249349840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116886 (or 3116880 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 249349840 is about 15790.8150517951. The cubic root of 249349840 is about 629.4139506791.

The spelling of 249349840 in words is "two hundred forty-nine million, three hundred forty-nine thousand, eight hundred forty".