1249996800 has 312 divisors, whose sum is σ = 4464946864. Its totient is φ = 306708480.

The previous prime is 1249996771. The next prime is 1249996861. The reversal of 1249996800 is 86999421.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1249996800.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2504 × 200 × 2496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3993444 + ... + 3993756.

Almost surely, 2^1249996800 is an apocalyptic number.

1249996800 is a gapful number since it is divisible by the number (10) 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 1249996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232473432).

1249996800 is an abundant number, since it is smaller than the sum of its proper divisors (3214950064).

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

1249996800 is a wasteful number, since it uses less digits than its factorization.

1249996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 1249996800 is about 35355.2938044644. The cubic root of 1249996800 is about 1077.2164257897.

The spelling of 1249996800 in words is "one billion, two hundred forty-nine million, nine hundred ninety-six thousand, eight hundred".