1151460960 has 384 divisors, whose sum is σ = 4169926656. Its totient is φ = 264929280.

The previous prime is 1151460953. The next prime is 1151460977. The reversal of 1151460960 is 690641511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10189864 + ... + 10189976.

It is an arithmetic number, because the mean of its divisors is an integer number (10859184).

Almost surely, 2^1151460960 is an apocalyptic number.

1151460960 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 1151460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084963328).

1151460960 is an abundant number, since it is smaller than the sum of its proper divisors (3018465696).

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

1151460960 is a wasteful number, since it uses less digits than its factorization.

1151460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1151460960 is about 33933.1837586749. The cubic root of 1151460960 is about 1048.1330270310.

The spelling of 1151460960 in words is "one billion, one hundred fifty-one million, four hundred sixty thousand, nine hundred sixty".