249000 has 64 divisors (see below), whose sum is σ = 786240. Its totient is φ = 65600.

The previous prime is 248987. The next prime is 249017. The reversal of 249000 is 942.

249000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 499²-1.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2959 + ... + 3041.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2²⁴⁹⁰⁰⁰ is an apocalyptic number.

249000 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 249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

249000 is an abundant number, since it is smaller than the sum of its proper divisors (537240).

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

249000 is a wasteful number, since it uses less digits than its factorization.

249000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 249000 is about 498.9989979950. The cubic root of 249000 is about 62.9119455156.

Adding to 249000 its reverse (942), we get a palindrome (249942).

It can be divided in two parts, 24 and 9000, that multiplied together give a cube (216000 = 60³).

The spelling of 249000 in words is "two hundred forty-nine thousand".