1159284000 has 384 divisors, whose sum is σ = 4469617152. Its totient is φ = 257126400.

The previous prime is 1159283989. The next prime is 1159284001. The reversal of 1159284000 is 4829511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1159284001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3107814 + ... + 3108186.

It is an arithmetic number, because the mean of its divisors is an integer number (11639628).

Almost surely, 2^1159284000 is an apocalyptic number.

1159284000 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 1159284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234808576).

1159284000 is an abundant number, since it is smaller than the sum of its proper divisors (3310333152).

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

1159284000 is a wasteful number, since it uses less digits than its factorization.

1159284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1159284000 is about 34048.2598674293. The cubic root of 1159284000 is about 1050.5013478828.

The spelling of 1159284000 in words is "one billion, one hundred fifty-nine million, two hundred eighty-four thousand".