1164414240 has 576 divisors, whose sum is σ = 4712722560. Its totient is φ = 258785280.

The previous prime is 1164414217. The next prime is 1164414247. The reversal of 1164414240 is 424144611.

1164414240 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 414 + 240 = 666.

It is not an unprimeable number, because it can be changed into a prime (1164414247) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 15950844 + ... + 15950916.

It is an arithmetic number, because the mean of its divisors is an integer number (8181810).

Almost surely, 2^1164414240 is an apocalyptic number.

1164414240 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 1164414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356361280).

1164414240 is an abundant number, since it is smaller than the sum of its proper divisors (3548308320).

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

1164414240 is a wasteful number, since it uses less digits than its factorization.

1164414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1164414240 is about 34123.5144731606. The cubic root of 1164414240 is about 1052.0486804424.

Adding to 1164414240 its reverse (424144611), we get a palindrome (1588558851).

The spelling of 1164414240 in words is "one billion, one hundred sixty-four million, four hundred fourteen thousand, two hundred forty".