249697240 has 128 divisors (see below), whose sum is σ = 645120000. Its totient is φ = 86220288.

The previous prime is 249697211. The next prime is 249697277. The reversal of 249697240 is 42796942.

249697240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1254661 + ... + 1254859.

It is an arithmetic number, because the mean of its divisors is an integer number (5040000).

Almost surely, 2^249697240 is an apocalyptic number.

249697240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249697240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560000).

249697240 is an abundant number, since it is smaller than the sum of its proper divisors (395422760).

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

249697240 is a wasteful number, since it uses less digits than its factorization.

249697240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 249697240 is about 15801.8112885833. The cubic root of 249697240 is about 629.7061197568.

The spelling of 249697240 in words is "two hundred forty-nine million, six hundred ninety-seven thousand, two hundred forty".