249924096 has 160 divisors (see below), whose sum is σ = 751291200. Its totient is φ = 82022400.

The previous prime is 249924091. The next prime is 249924109. The reversal of 249924096 is 690429942.

It is a happy number.

It is a super-2 number, since 2×249924096² = 124924107522834432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (249924091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1396135 + ... + 1396313.

It is an arithmetic number, because the mean of its divisors is an integer number (4695570).

Almost surely, 2^249924096 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 249924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375645600).

249924096 is an abundant number, since it is smaller than the sum of its proper divisors (501367104).

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

249924096 is a wasteful number, since it uses less digits than its factorization.

249924096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 249924096 is about 15808.9878233870. The cubic root of 249924096 is about 629.8967631291.

The spelling of 249924096 in words is "two hundred forty-nine million, nine hundred twenty-four thousand, ninety-six".