249052320 has 240 divisors, whose sum is σ = 959400288. Its totient is φ = 60341760.

The previous prime is 249052289. The next prime is 249052337. The reversal of 249052320 is 23250942.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141687 + ... + 143433.

Almost surely, 2^249052320 is an apocalyptic number.

249052320 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 249052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479700144).

249052320 is an abundant number, since it is smaller than the sum of its proper divisors (710347968).

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

249052320 is a wasteful number, since it uses less digits than its factorization.

249052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 249052320 is about 15781.3915736224. The cubic root of 249052320 is about 629.1635156975.

It can be divided in two parts, 24905 and 2320, that added together give a square (27225 = 165²).

The spelling of 249052320 in words is "two hundred forty-nine million, fifty-two thousand, three hundred twenty".