249500 has 24 divisors (see below), whose sum is σ = 546000. Its totient is φ = 99600.

The previous prime is 249499. The next prime is 249503. The reversal of 249500 is 5942.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249503) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 251 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (22750).

2²⁴⁹⁵⁰⁰ is an apocalyptic number.

249500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 499×500.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273000).

249500 is an abundant number, since it is smaller than the sum of its proper divisors (296500).

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

249500 is a wasteful number, since it uses less digits than its factorization.

249500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 249500 is about 499.4997497497. The cubic root of 249500 is about 62.9540270970.

The spelling of 249500 in words is "two hundred forty-nine thousand, five hundred".