249864 has 32 divisors (see below), whose sum is σ = 648000. Its totient is φ = 80192.

The previous prime is 249863. The next prime is 249871. The reversal of 249864 is 468942.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 517 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2²⁴⁹⁸⁶⁴ is an apocalyptic number.

249864 is a gapful number since it is divisible by the number (24) 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 249864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324000).

249864 is an abundant number, since it is smaller than the sum of its proper divisors (398136).

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

249864 is a wasteful number, since it uses less digits than its factorization.

249864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 249864 is about 499.8639814990. The cubic root of 249864 is about 62.9846271385.

The spelling of 249864 in words is "two hundred forty-nine thousand, eight hundred sixty-four".