249553320 has 64 divisors (see below), whose sum is σ = 755568000. Its totient is φ = 65933568.

The previous prime is 249553313. The next prime is 249553351. The reversal of 249553320 is 23355942.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3541 + ... + 22619.

It is an arithmetic number, because the mean of its divisors is an integer number (11805750).

Almost surely, 2^249553320 is an apocalyptic number.

249553320 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 249553320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377784000).

249553320 is an abundant number, since it is smaller than the sum of its proper divisors (506014680).

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

249553320 is a wasteful number, since it uses less digits than its factorization.

249553320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19202 (or 19198 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 249553320 is about 15797.2567238746. The cubic root of 249553320 is about 629.5851135839.

The spelling of 249553320 in words is "two hundred forty-nine million, five hundred fifty-three thousand, three hundred twenty".