249986304 has 144 divisors (see below), whose sum is σ = 753009600. Its totient is φ = 81782784.

The previous prime is 249986299. The next prime is 249986323. The reversal of 249986304 is 403689942.

249986304 is a `hidden beast` number, since 2 + 4 + 9 + 9 + 8 + 630 + 4 = 666.

249986304 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 249986304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407502 + ... + 408114.

Almost surely, 2^249986304 is an apocalyptic number.

249986304 is a gapful number since it is divisible by the number (24) 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 249986304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376504800).

249986304 is an abundant number, since it is smaller than the sum of its proper divisors (503023296).

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

249986304 is an equidigital number, since it uses as much as digits as its factorization.

249986304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 249986304 is about 15810.9551893616. The cubic root of 249986304 is about 629.9490208182.

The spelling of 249986304 in words is "two hundred forty-nine million, nine hundred eighty-six thousand, three hundred four".