249780 has 48 divisors (see below), whose sum is σ = 733824. Its totient is φ = 63360.

The previous prime is 249779. The next prime is 249797. The reversal of 249780 is 87942.

249780 = 93² + 94² + ... + 115².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1290 + ... + 1470.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2²⁴⁹⁷⁸⁰ is an apocalyptic number.

249780 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 249780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912).

249780 is an abundant number, since it is smaller than the sum of its proper divisors (484044).

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

249780 is a wasteful number, since it uses less digits than its factorization.

249780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 249780 is about 499.7799515787. The cubic root of 249780 is about 62.9775682296.

The spelling of 249780 in words is "two hundred forty-nine thousand, seven hundred eighty".