249346944 has 256 divisors, whose sum is σ = 918489600. Its totient is φ = 64696320.

The previous prime is 249346943. The next prime is 249346949. The reversal of 249346944 is 449643942.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 249346944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249346943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265644 + ... + 266580.

It is an arithmetic number, because the mean of its divisors is an integer number (3587850).

Almost surely, 2^249346944 is an apocalyptic number.

249346944 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 249346944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459244800).

249346944 is an abundant number, since it is smaller than the sum of its proper divisors (669142656).

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

249346944 is a wasteful number, since it uses less digits than its factorization.

249346944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 960 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 249346944 is about 15790.7233526523. The cubic root of 249346944 is about 629.4115139556.

It can be divided in two parts, 24934 and 6944, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 249346944 in words is "two hundred forty-nine million, three hundred forty-six thousand, nine hundred forty-four".