1160054400 has 192 divisors, whose sum is σ = 3851316000. Its totient is φ = 306892800.

The previous prime is 1160054351. The next prime is 1160054417. The reversal of 1160054400 is 44500611.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1429995 + ... + 1430805.

Almost surely, 2^1160054400 is an apocalyptic number.

1160054400 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 1160054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925658000).

1160054400 is an abundant number, since it is smaller than the sum of its proper divisors (2691261600).

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

1160054400 is a wasteful number, since it uses less digits than its factorization.

1160054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1160054400 is about 34059.5713419884. The cubic root of 1160054400 is about 1050.7339992522.

The spelling of 1160054400 in words is "one billion, one hundred sixty million, fifty-four thousand, four hundred".