249516288 has 252 divisors, whose sum is σ = 857891328. Its totient is φ = 70917120.

The previous prime is 249516287. The next prime is 249516299. The reversal of 249516288 is 882615942.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (249516287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306273 + ... + 1306463.

Almost surely, 2^249516288 is an apocalyptic number.

249516288 is a gapful number since it is divisible by the number (28) 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 249516288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428945664).

249516288 is an abundant number, since it is smaller than the sum of its proper divisors (608375040).

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

249516288 is an frugal number, since it uses more digits than its factorization.

249516288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 249516288 is about 15796.0845781478. The cubic root of 249516288 is about 629.5539700067.

The spelling of 249516288 in words is "two hundred forty-nine million, five hundred sixteen thousand, two hundred eighty-eight".