1459112800 has 72 divisors (see below), whose sum is σ = 3598972776. Its totient is φ = 577597440.

The previous prime is 1459112773. The next prime is 1459112803. The reversal of 1459112800 is 82119541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1459112803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68199 + ... + 87001.

It is an arithmetic number, because the mean of its divisors is an integer number (49985733).

Almost surely, 2^1459112800 is an apocalyptic number.

1459112800 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 1459112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799486388).

1459112800 is an abundant number, since it is smaller than the sum of its proper divisors (2139859976).

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

1459112800 is a wasteful number, since it uses less digits than its factorization.

1459112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18920 (or 18907 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 1459112800 is about 38198.3350422502. The cubic root of 1459112800 is about 1134.2173571686.

The spelling of 1459112800 in words is "one billion, four hundred fifty-nine million, one hundred twelve thousand, eight hundred".