1164409344 has 360 divisors, whose sum is σ = 4075239168. Its totient is φ = 330946560.

The previous prime is 1164409333. The next prime is 1164409391. The reversal of 1164409344 is 4439044611.

It is a happy number.

1164409344 is a `hidden beast` number, since 1 + 1 + 644 + 0 + 9 + 3 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1164409299 and 1164409308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6096289 + ... + 6096479.

Almost surely, 2^1164409344 is an apocalyptic number.

1164409344 is a gapful number since it is divisible by the number (14) 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 1164409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037619584).

1164409344 is an abundant number, since it is smaller than the sum of its proper divisors (2910829824).

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

1164409344 is an frugal number, since it uses more digits than its factorization.

1164409344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1164409344 is about 34123.4427336985. The cubic root of 1164409344 is about 1052.0472059277.

The spelling of 1164409344 in words is "one billion, one hundred sixty-four million, four hundred nine thousand, three hundred forty-four".