1459158960 has 320 divisors, whose sum is σ = 5763916800. Its totient is φ = 297271296.

The previous prime is 1459158959. The next prime is 1459158989. The reversal of 1459158960 is 698519541.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 541296 + ... + 543984.

It is an arithmetic number, because the mean of its divisors is an integer number (18012240).

Almost surely, 2^1459158960 is an apocalyptic number.

1459158960 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 1459158960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881958400).

1459158960 is an abundant number, since it is smaller than the sum of its proper divisors (4304757840).

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

1459158960 is a wasteful number, since it uses less digits than its factorization.

1459158960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The square root of 1459158960 is about 38198.9392522881. The cubic root of 1459158960 is about 1134.2293176149.

The spelling of 1459158960 in words is "one billion, four hundred fifty-nine million, one hundred fifty-eight thousand, nine hundred sixty".