249979224 has 96 divisors (see below), whose sum is σ = 699048000. Its totient is φ = 74416320.

The previous prime is 249979199. The next prime is 249979231. The reversal of 249979224 is 422979942.

249979224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×249979224² = 124979224863284352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170607 + ... + 172065.

It is an arithmetic number, because the mean of its divisors is an integer number (7281750).

Almost surely, 2^249979224 is an apocalyptic number.

249979224 is a gapful number since it is divisible by the number (24) 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 249979224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349524000).

249979224 is an abundant number, since it is smaller than the sum of its proper divisors (449068776).

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

249979224 is a wasteful number, since it uses less digits than its factorization.

249979224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1534 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 249979224 is about 15810.7312923849. The cubic root of 249979224 is about 629.9430737175.

The spelling of 249979224 in words is "two hundred forty-nine million, nine hundred seventy-nine thousand, two hundred twenty-four".