249750 has 64 divisors (see below), whose sum is σ = 711360. Its totient is φ = 64800.

The previous prime is 249749. The next prime is 249763. The reversal of 249750 is 57942.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6732 + ... + 6768.

It is an arithmetic number, because the mean of its divisors is an integer number (11115).

2²⁴⁹⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355680).

249750 is an abundant number, since it is smaller than the sum of its proper divisors (461610).

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

249750 is a wasteful number, since it uses less digits than its factorization.

249750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 249750 is about 499.7499374687. The cubic root of 249750 is about 62.9750468071.

It can be divided in two parts, 249 and 750, that added together give a palindrome (999).

The spelling of 249750 in words is "two hundred forty-nine thousand, seven hundred fifty".