1144578320 has 40 divisors (see below), whose sum is σ = 2667727320. Its totient is φ = 456698880.

The previous prime is 1144578317. The next prime is 1144578341. The reversal of 1144578320 is 238754411.

It can be written as a sum of positive squares in 4 ways, for example, as 362369296 + 782209024 = 19036^2 + 27968^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1144578320² = 2620119061228044800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15230 + ... + 50210.

It is an arithmetic number, because the mean of its divisors is an integer number (66693183).

Almost surely, 2^1144578320 is an apocalyptic number.

1144578320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144578320 is an abundant number, since it is smaller than the sum of its proper divisors (1523149000).

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

1144578320 is a wasteful number, since it uses less digits than its factorization.

1144578320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35403 (or 35397 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 1144578320 is about 33831.6171650130. The cubic root of 1144578320 is about 1046.0405133305.

The spelling of 1144578320 in words is "one billion, one hundred forty-four million, five hundred seventy-eight thousand, three hundred twenty".