1249968384 has 432 divisors, whose sum is σ = 4499808768. Its totient is φ = 325582848.

The previous prime is 1249968359. The next prime is 1249968397. The reversal of 1249968384 is 4838699421.

1249968384 is a `hidden beast` number, since 12 + 499 + 68 + 3 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1249968384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12886224 + ... + 12886320.

It is an arithmetic number, because the mean of its divisors is an integer number (10416224).

Almost surely, 2^1249968384 is an apocalyptic number.

1249968384 is a gapful number since it is divisible by the number (14) 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 1249968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249904384).

1249968384 is an abundant number, since it is smaller than the sum of its proper divisors (3249840384).

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

1249968384 is a wasteful number, since it uses less digits than its factorization.

1249968384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 1249968384 is about 35354.8919387402. The cubic root of 1249968384 is about 1077.2082629918.

The spelling of 1249968384 in words is "one billion, two hundred forty-nine million, nine hundred sixty-eight thousand, three hundred eighty-four".