1249848288 has 108 divisors (see below), whose sum is σ = 3848841360. Its totient is φ = 384553728.

The previous prime is 1249848283. The next prime is 1249848307. The reversal of 1249848288 is 8828489421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249848283) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 35833 + ... + 61511.

It is an arithmetic number, because the mean of its divisors is an integer number (35637420).

Almost surely, 2^1249848288 is an apocalyptic number.

1249848288 is a gapful number since it is divisible by the number (18) 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 1249848288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924420680).

1249848288 is an abundant number, since it is smaller than the sum of its proper divisors (2598993072).

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

1249848288 is a wasteful number, since it uses less digits than its factorization.

1249848288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25721 (or 25697 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 1249848288 is about 35353.1934625431. The cubic root of 1249848288 is about 1077.1737627733.

The spelling of 1249848288 in words is "one billion, two hundred forty-nine million, eight hundred forty-eight thousand, two hundred eighty-eight".