1159356240 has 400 divisors, whose sum is σ = 4688449920. Its totient is φ = 260029440.

The previous prime is 1159356181. The next prime is 1159356311. The reversal of 1159356240 is 426539511.

1159356240 is a `hidden beast` number, since 1 + 1 + 5 + 93 + 562 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1159356195 and 1159356204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2766751 + ... + 2767169.

Almost surely, 2^1159356240 is an apocalyptic number.

1159356240 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 1159356240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344224960).

1159356240 is an abundant number, since it is smaller than the sum of its proper divisors (3529093680).

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

1159356240 is a wasteful number, since it uses less digits than its factorization.

1159356240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1159356240 is about 34049.3206980697. The cubic root of 1159356240 is about 1050.5231678571.

The spelling of 1159356240 in words is "one billion, one hundred fifty-nine million, three hundred fifty-six thousand, two hundred forty".