249234888 has 128 divisors (see below), whose sum is σ = 732672000. Its totient is φ = 69189120.

The previous prime is 249234871. The next prime is 249234889. The reversal of 249234888 is 888432942.

249234888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (249234889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181103 + ... + 1181313.

It is an arithmetic number, because the mean of its divisors is an integer number (5724000).

Almost surely, 2^249234888 is an apocalyptic number.

249234888 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 249234888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366336000).

249234888 is an abundant number, since it is smaller than the sum of its proper divisors (483437112).

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

249234888 is a wasteful number, since it uses less digits than its factorization.

249234888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 249234888 is about 15787.1747947503. The cubic root of 249234888 is about 629.3172144181.

The spelling of 249234888 in words is "two hundred forty-nine million, two hundred thirty-four thousand, eight hundred eighty-eight".