249197312 has 144 divisors (see below), whose sum is σ = 645576960. Its totient is φ = 93229056.

The previous prime is 249197287. The next prime is 249197323. The reversal of 249197312 is 213791942.

249197312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a nialpdrome in base 16.

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 15 ways as a sum of consecutive naturals, for example, 442343 + ... + 442905.

Almost surely, 2^249197312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322788480).

249197312 is an abundant number, since it is smaller than the sum of its proper divisors (396379648).

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

249197312 is a wasteful number, since it uses less digits than its factorization.

249197312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 604 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 249197312 is about 15785.9846699533. The cubic root of 249197312 is about 629.2855864060.

The spelling of 249197312 in words is "two hundred forty-nine million, one hundred ninety-seven thousand, three hundred twelve".