249387264 has 243 divisors, whose sum is σ = 854615307. Its totient is φ = 69737472.

The previous prime is 249387253. The next prime is 249387283. The reversal of 249387264 is 462783942.

The square root of 249387264 is 15792.

It is a perfect power (a square), and thus also a powerful number.

249387264 is a `hidden beast` number, since 2 + 4 + 9 + 387 + 264 = 666.

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

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 26 ways as a sum of consecutive naturals, for example, 5306089 + ... + 5306135.

Almost surely, 2^249387264 is an apocalyptic number.

249387264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

249387264 is the 15792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249387264

249387264 is an abundant number, since it is smaller than the sum of its proper divisors (605228043).

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

249387264 is an equidigital number, since it uses as much as digits as its factorization.

249387264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 59 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The cubic root of 249387264 is about 629.4454379118.

The spelling of 249387264 in words is "two hundred forty-nine million, three hundred eighty-seven thousand, two hundred sixty-four".