249884 has 12 divisors (see below), whose sum is σ = 441000. Its totient is φ = 123888.

The previous prime is 249881. The next prime is 249911. The reversal of 249884 is 488942.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249884.

It is not an unprimeable number, because it can be changed into a prime (249881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 542 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (36750).

2²⁴⁹⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

249884 is a deficient number, since it is larger than the sum of its proper divisors (191116).

249884 is a wasteful number, since it uses less digits than its factorization.

249884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 249884 is about 499.8839865409. The cubic root of 249884 is about 62.9863075979.

It can be divided in two parts, 249 and 884, that multiplied together give a triangular number (220116 = T₆₆₃).

The spelling of 249884 in words is "two hundred forty-nine thousand, eight hundred eighty-four".