1144281600 has 960 divisors, whose sum is σ = 5358228480. Its totient is φ = 232243200.

The previous prime is 1144281581. The next prime is 1144281601. The reversal of 1144281600 is 61824411.

It is a happy number.

1144281600 is a `hidden beast` number, since 1 + 14 + 42 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144281601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26611179 + ... + 26611221.

It is an arithmetic number, because the mean of its divisors is an integer number (5581488).

Almost surely, 2^1144281600 is an apocalyptic number.

1144281600 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 1144281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679114240).

1144281600 is an abundant number, since it is smaller than the sum of its proper divisors (4213946880).

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

1144281600 is a wasteful number, since it uses less digits than its factorization.

1144281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1144281600 is about 33827.2316337001. The cubic root of 1144281600 is about 1045.9501138182.

The spelling of 1144281600 in words is "one billion, one hundred forty-four million, two hundred eighty-one thousand, six hundred".