249993000 has 256 divisors, whose sum is σ = 889574400. Its totient is φ = 64915200.

The previous prime is 249992989. The next prime is 249993001. The reversal of 249993000 is 399942.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (249993001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1268902 + ... + 1269098.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2^249993000 is an apocalyptic number.

249993000 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 249993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444787200).

249993000 is an abundant number, since it is smaller than the sum of its proper divisors (639581400).

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

249993000 is a wasteful number, since it uses less digits than its factorization.

249993000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 249993000 is about 15811.1669398561. The cubic root of 249993000 is about 629.9546452610.

The spelling of 249993000 in words is "two hundred forty-nine million, nine hundred ninety-three thousand".