1165406400 has 336 divisors, whose sum is σ = 4336999200. Its totient is φ = 304312320.

The previous prime is 1165406387. The next prime is 1165406413. The reversal of 1165406400 is 46045611.

1165406400 is a `hidden beast` number, since 1 + 1 + 654 + 0 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1165406387) and next prime (1165406413).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 2289346 + ... + 2289854.

Almost surely, 2^1165406400 is an apocalyptic number.

1165406400 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 1165406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168499600).

1165406400 is an abundant number, since it is smaller than the sum of its proper divisors (3171592800).

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

1165406400 is a wasteful number, since it uses less digits than its factorization.

1165406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1165406400 is about 34138.0491534007. The cubic root of 1165406400 is about 1052.3474012527.

The spelling of 1165406400 in words is "one billion, one hundred sixty-five million, four hundred six thousand, four hundred".