249304320 has 432 divisors, whose sum is σ = 975723840. Its totient is φ = 58392576.

The previous prime is 249304283. The next prime is 249304331. The reversal of 249304320 is 23403942.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3720927 + ... + 3720993.

It is an arithmetic number, because the mean of its divisors is an integer number (2258620).

Almost surely, 2^249304320 is an apocalyptic number.

249304320 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 249304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487861920).

249304320 is an abundant number, since it is smaller than the sum of its proper divisors (726419520).

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

249304320 is a wasteful number, since it uses less digits than its factorization.

249304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 249304320 is about 15789.3736417883. The cubic root of 249304320 is about 629.3756475108.

The spelling of 249304320 in words is "two hundred forty-nine million, three hundred four thousand, three hundred twenty".