1144451000 has 256 divisors, whose sum is σ = 3396556800. Its totient is φ = 350592000.

The previous prime is 1144450991. The next prime is 1144451023. The reversal of 1144451000 is 1544411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6852917 + ... + 6853083.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2^1144451000 is an apocalyptic number.

1144451000 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 1144451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698278400).

1144451000 is an abundant number, since it is smaller than the sum of its proper divisors (2252105800).

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

1144451000 is a wasteful number, since it uses less digits than its factorization.

1144451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1144451000 is about 33829.7354408810. The cubic root of 1144451000 is about 1046.0017255911.

Adding to 1144451000 its reverse (1544411), we get a palindrome (1145995411).

The spelling of 1144451000 in words is "one billion, one hundred forty-four million, four hundred fifty-one thousand".