249980928 has 192 divisors, whose sum is σ = 731203200. Its totient is φ = 75694080.

The previous prime is 249980911. The next prime is 249980933. The reversal of 249980928 is 829089942.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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, 4098018 + ... + 4098078.

It is an arithmetic number, because the mean of its divisors is an integer number (3808350).

Almost surely, 2^249980928 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 249980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

249980928 is an abundant number, since it is smaller than the sum of its proper divisors (481222272).

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

249980928 is a wasteful number, since it uses less digits than its factorization.

249980928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 249980928 is about 15810.7851797436. The cubic root of 249980928 is about 629.9445050639.

The spelling of 249980928 in words is "two hundred forty-nine million, nine hundred eighty thousand, nine hundred twenty-eight".