1165298400 has 540 divisors, whose sum is σ = 4956901488. Its totient is φ = 265628160.

The previous prime is 1165298389. The next prime is 1165298419. The reversal of 1165298400 is 48925611.

1165298400 is a `hidden beast` number, since 1 + 165 + 2 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×1165298400² = 2715840722085120000, which contains 22 as substring.

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

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3175017 + ... + 3175383.

Almost surely, 2^1165298400 is an apocalyptic number.

1165298400 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 1165298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478450744).

1165298400 is an abundant number, since it is smaller than the sum of its proper divisors (3791603088).

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

1165298400 is a wasteful number, since it uses less digits than its factorization.

1165298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 384 counting only the distinct ones).

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

The square root of 1165298400 is about 34136.4673040430. The cubic root of 1165298400 is about 1052.3148926988.

The spelling of 1165298400 in words is "one billion, one hundred sixty-five million, two hundred ninety-eight thousand, four hundred".