1149948800 has 384 divisors, whose sum is σ = 3824755200. Its totient is φ = 329932800.

The previous prime is 1149948781. The next prime is 1149948817. The reversal of 1149948800 is 88499411.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3203021 + ... + 3203379.

It is an arithmetic number, because the mean of its divisors is an integer number (9960300).

Almost surely, 2^1149948800 is an apocalyptic number.

1149948800 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 1149948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912377600).

1149948800 is an abundant number, since it is smaller than the sum of its proper divisors (2674806400).

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

1149948800 is a wasteful number, since it uses less digits than its factorization.

1149948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The square root of 1149948800 is about 33910.8950044082. The cubic root of 1149948800 is about 1047.6740046206.

It can be divided in two parts, 1149 and 948800, that added together give a palindrome (949949).

The spelling of 1149948800 in words is "one billion, one hundred forty-nine million, nine hundred forty-eight thousand, eight hundred".