249860 has 36 divisors (see below), whose sum is σ = 583884. Its totient is φ = 89280.

The previous prime is 249859. The next prime is 249863. The reversal of 249860 is 68942.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 188356 = 248^2 + 434^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8045 + ... + 8075.

It is an arithmetic number, because the mean of its divisors is an integer number (16219).

2²⁴⁹⁸⁶⁰ is an apocalyptic number.

249860 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 249860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291942).

249860 is an abundant number, since it is smaller than the sum of its proper divisors (334024).

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

249860 is a wasteful number, since it uses less digits than its factorization.

249860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 249860 is about 499.8599803945. The cubic root of 249860 is about 62.9842910359.

The spelling of 249860 in words is "two hundred forty-nine thousand, eight hundred sixty".