1164258900 has 288 divisors, whose sum is σ = 4312224000. Its totient is φ = 263969280.

The previous prime is 1164258883. The next prime is 1164258941. The reversal of 1164258900 is 98524611.

1164258900 is a `hidden beast` number, since 1 + 1 + 642 + 5 + 8 + 9 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4327966 + ... + 4328234.

It is an arithmetic number, because the mean of its divisors is an integer number (14973000).

Almost surely, 2^1164258900 is an apocalyptic number.

1164258900 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 1164258900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156112000).

1164258900 is an abundant number, since it is smaller than the sum of its proper divisors (3147965100).

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

1164258900 is a wasteful number, since it uses less digits than its factorization.

1164258900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1164258900 is about 34121.2382542017. The cubic root of 1164258900 is about 1052.0018951134.

The spelling of 1164258900 in words is "one billion, one hundred sixty-four million, two hundred fifty-eight thousand, nine hundred".