1459445130 has 288 divisors, whose sum is σ = 4592362320. Its totient is φ = 321235200.

The previous prime is 1459445111. The next prime is 1459445159. The reversal of 1459445130 is 315449541.

It is a happy number.

1459445130 is a `hidden beast` number, since 14 + 594 + 4 + 51 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 419963049 + 1039482081 = 20493^2 + 32241^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23925300 + ... + 23925360.

Almost surely, 2^1459445130 is an apocalyptic number.

1459445130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1459445130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296181160).

1459445130 is an abundant number, since it is smaller than the sum of its proper divisors (3132917190).

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

1459445130 is a wasteful number, since it uses less digits than its factorization.

1459445130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1459445130 is about 38202.6848532927. The cubic root of 1459445130 is about 1134.3034610533.

The spelling of 1459445130 in words is "one billion, four hundred fifty-nine million, four hundred forty-five thousand, one hundred thirty".