1144379520 has 192 divisors, whose sum is σ = 4017700440. Its totient is φ = 300072960.

The previous prime is 1144379473. The next prime is 1144379567. The reversal of 1144379520 is 259734411.

1144379520 is a `hidden beast` number, since 114 + 437 + 95 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1144379473) and next prime (1144379567).

It can be written as a sum of positive squares in 4 ways, for example, as 814303296 + 330076224 = 28536^2 + 18168^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 349732 + ... + 352988.

Almost surely, 2^1144379520 is an apocalyptic number.

1144379520 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 1144379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008850220).

1144379520 is an abundant number, since it is smaller than the sum of its proper divisors (2873320920).

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

1144379520 is a wasteful number, since it uses less digits than its factorization.

1144379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1144379520 is about 33828.6789573581. The cubic root of 1144379520 is about 1045.9799481159.

The spelling of 1144379520 in words is "one billion, one hundred forty-four million, three hundred seventy-nine thousand, five hundred twenty".