249887232 has 240 divisors, whose sum is σ = 844326912. Its totient is φ = 69672960.

The previous prime is 249887227. The next prime is 249887237. The reversal of 249887232 is 232788942.

It is an interprime number because it is at equal distance from previous prime (249887227) and next prime (249887237).

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

It is not an unprimeable number, because it can be changed into a prime (249887237) 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 23 ways as a sum of consecutive naturals, for example, 1967553 + ... + 1967679.

Almost surely, 2^249887232 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 249887232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422163456).

249887232 is an abundant number, since it is smaller than the sum of its proper divisors (594439680).

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

249887232 is a wasteful number, since it uses less digits than its factorization.

249887232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 249887232 is about 15807.8218613445. The cubic root of 249887232 is about 629.8657915175.

The spelling of 249887232 in words is "two hundred forty-nine million, eight hundred eighty-seven thousand, two hundred thirty-two".