1159401600 has 672 divisors, whose sum is σ = 4976735040. Its totient is φ = 261273600.

The previous prime is 1159401589. The next prime is 1159401601. The reversal of 1159401600 is 61049511.

1159401600 is a `hidden beast` number, since 1 + 1 + 59 + 4 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (1159401601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16329565 + ... + 16329635.

Almost surely, 2^1159401600 is an apocalyptic number.

1159401600 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 1159401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488367520).

1159401600 is an abundant number, since it is smaller than the sum of its proper divisors (3817333440).

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

1159401600 is an frugal number, since it uses more digits than its factorization.

1159401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1159401600 is about 34049.9867841384. The cubic root of 1159401600 is about 1050.5368683079.

The spelling of 1159401600 in words is "one billion, one hundred fifty-nine million, four hundred one thousand, six hundred".