1459950000 has 120 divisors (see below), whose sum is σ = 4714604496. Its totient is φ = 389280000.

The previous prime is 1459949999. The next prime is 1459950013. The reversal of 1459950000 is 599541.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145134 + ... + 154866.

Almost surely, 2^1459950000 is an apocalyptic number.

1459950000 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 1459950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357302248).

1459950000 is an abundant number, since it is smaller than the sum of its proper divisors (3254654496).

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

1459950000 is an frugal number, since it uses more digits than its factorization.

1459950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9769 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 1459950000 is about 38209.2920635806. The cubic root of 1459950000 is about 1134.4342435800.

The spelling of 1459950000 in words is "one billion, four hundred fifty-nine million, nine hundred fifty thousand".