1459980000 has 180 divisors, whose sum is σ = 5188751568. Its totient is φ = 389280000.

The previous prime is 1459979933. The next prime is 1459980019. The reversal of 1459980000 is 899541.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 175945 + ... + 184055.

Almost surely, 2^1459980000 is an apocalyptic number.

1459980000 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 1459980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594375784).

1459980000 is an abundant number, since it is smaller than the sum of its proper divisors (3728771568).

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

1459980000 is an equidigital number, since it uses as much as digits as its factorization.

1459980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1459980000 is about 38209.6846362280. The cubic root of 1459980000 is about 1134.4420138905.

The spelling of 1459980000 in words is "one billion, four hundred fifty-nine million, nine hundred eighty thousand".