1165490400 has 288 divisors, whose sum is σ = 4068489600. Its totient is φ = 288921600.

The previous prime is 1165490387. The next prime is 1165490441. The reversal of 1165490400 is 40945611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2781391 + ... + 2781809.

It is an arithmetic number, because the mean of its divisors is an integer number (14126700).

Almost surely, 2^1165490400 is an apocalyptic number.

1165490400 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 1165490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034244800).

1165490400 is an abundant number, since it is smaller than the sum of its proper divisors (2902999200).

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

1165490400 is a wasteful number, since it uses less digits than its factorization.

1165490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1165490400 is about 34139.2794300055. The cubic root of 1165490400 is about 1052.3726842950.

The spelling of 1165490400 in words is "one billion, one hundred sixty-five million, four hundred ninety thousand, four hundred".