249726080 has 128 divisors (see below), whose sum is σ = 633346560. Its totient is φ = 94003200.

The previous prime is 249726077. The next prime is 249726091. The reversal of 249726080 is 80627942.

249726080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813287 + ... + 813593.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2^249726080 is an apocalyptic number.

249726080 is a gapful number since it is divisible by the number (20) 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 249726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316673280).

249726080 is an abundant number, since it is smaller than the sum of its proper divisors (383620480).

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

249726080 is a wasteful number, since it uses less digits than its factorization.

249726080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 249726080 is about 15802.7238158490. The cubic root of 249726080 is about 629.7303624828.

The spelling of 249726080 in words is "two hundred forty-nine million, seven hundred twenty-six thousand, eighty".