249340960 has 48 divisors (see below), whose sum is σ = 642624192. Its totient is φ = 90668800.

The previous prime is 249340939. The next prime is 249340979. The reversal of 249340960 is 69043942.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69076 + ... + 72595.

It is an arithmetic number, because the mean of its divisors is an integer number (13388004).

Almost surely, 2^249340960 is an apocalyptic number.

249340960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249340960 is an abundant number, since it is smaller than the sum of its proper divisors (393283232).

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

249340960 is a wasteful number, since it uses less digits than its factorization.

249340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141697 (or 141689 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 249340960 is about 15790.5338731786. The cubic root of 249340960 is about 629.4064788980.

The spelling of 249340960 in words is "two hundred forty-nine million, three hundred forty thousand, nine hundred sixty".