249580 has 12 divisors (see below), whose sum is σ = 524160. Its totient is φ = 99824.

The previous prime is 249563. The next prime is 249583. The reversal of 249580 is 85942.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249583) by changing a digit.

249580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6220 + ... + 6259.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2²⁴⁹⁵⁸⁰ is an apocalyptic number.

249580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249580 is an abundant number, since it is smaller than the sum of its proper divisors (274580).

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

249580 is a wasteful number, since it uses less digits than its factorization.

249580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12488 (or 12486 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 249580 is about 499.5798234517. The cubic root of 249580 is about 62.9607549313.

It can be divided in two parts, 24 and 9580, that added together give a square (9604 = 98²).

The spelling of 249580 in words is "two hundred forty-nine thousand, five hundred eighty".