1159461520 has 120 divisors (see below), whose sum is σ = 3152101824. Its totient is φ = 395474688.

The previous prime is 1159461493. The next prime is 1159461521. The reversal of 1159461520 is 251649511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1159461521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 889189 + ... + 890491.

Almost surely, 2^1159461520 is an apocalyptic number.

1159461520 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 1159461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576050912).

1159461520 is an abundant number, since it is smaller than the sum of its proper divisors (1992640304).

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

1159461520 is a wasteful number, since it uses less digits than its factorization.

1159461520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 1159461520 is about 34050.8666556374. The cubic root of 1159461520 is about 1050.5549658865.

The spelling of 1159461520 in words is "one billion, one hundred fifty-nine million, four hundred sixty-one thousand, five hundred twenty".