249984288 has 72 divisors (see below), whose sum is σ = 713434176. Its totient is φ = 83030400.

The previous prime is 249984277. The next prime is 249984299. The reversal of 249984288 is 882489942.

249984288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249984277) and next prime (249984299).

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88173 + ... + 90963.

It is an arithmetic number, because the mean of its divisors is an integer number (9908808).

Almost surely, 2^249984288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249984288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356717088).

249984288 is an abundant number, since it is smaller than the sum of its proper divisors (463449888).

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

249984288 is a wasteful number, since it uses less digits than its factorization.

249984288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3107 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 249984288 is about 15810.8914359691. The cubic root of 249984288 is about 629.9473274179.

The spelling of 249984288 in words is "two hundred forty-nine million, nine hundred eighty-four thousand, two hundred eighty-eight".