249997248 has 84 divisors (see below), whose sum is σ = 726783408. Its totient is φ = 82145280.

The previous prime is 249997247. The next prime is 249997249. The reversal of 249997248 is 842799942.

249997248 is digitally balanced in base 3, 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 (249997247) and next prime (249997249).

It is a junction number, because it is equal to n+sod(n) for n = 249997194 and 249997203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249997247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37840 + ... + 43952.

Almost surely, 2^249997248 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 249997248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363391704).

249997248 is an abundant number, since it is smaller than the sum of its proper divisors (476786160).

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

249997248 is a wasteful number, since it uses less digits than its factorization.

249997248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6189 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 249997248 is about 15811.3012747212. The cubic root of 249997248 is about 629.9582134038.

The spelling of 249997248 in words is "two hundred forty-nine million, nine hundred ninety-seven thousand, two hundred forty-eight".