249678264 has 64 divisors (see below), whose sum is σ = 683354880. Its totient is φ = 75392000.

The previous prime is 249678251. The next prime is 249678293. The reversal of 249678264 is 462876942.

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, 80584 + ... + 83624.

It is an arithmetic number, because the mean of its divisors is an integer number (10677420).

Almost surely, 2^249678264 is an apocalyptic number.

249678264 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 249678264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341677440).

249678264 is an abundant number, since it is smaller than the sum of its proper divisors (433676616).

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

249678264 is a wasteful number, since it uses less digits than its factorization.

249678264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3368 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 249678264 is about 15801.2108396793. The cubic root of 249678264 is about 629.6901676301.

It can be divided in two parts, 249678 and 264, that added together give a palindrome (249942).

The spelling of 249678264 in words is "two hundred forty-nine million, six hundred seventy-eight thousand, two hundred sixty-four".