1160251400 has 288 divisors, whose sum is σ = 3511382400. Its totient is φ = 352396800.

The previous prime is 1160251381. The next prime is 1160251403. The reversal of 1160251400 is 41520611.

It is a super-2 number, since 2×1160251400² = 2692366622403920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1160251403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5066486 + ... + 5066714.

It is an arithmetic number, because the mean of its divisors is an integer number (12192300).

Almost surely, 2^1160251400 is an apocalyptic number.

1160251400 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 1160251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755691200).

1160251400 is an abundant number, since it is smaller than the sum of its proper divisors (2351131000).

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

1160251400 is a wasteful number, since it uses less digits than its factorization.

1160251400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1160251400 is about 34062.4632109893. The cubic root of 1160251400 is about 1050.7934743026.

The spelling of 1160251400 in words is "one billion, one hundred sixty million, two hundred fifty-one thousand, four hundred".