459041467560 has 512 divisors, whose sum is σ = 1593797990400. Its totient is φ = 104822968320.

The previous prime is 459041467543. The next prime is 459041467597. The reversal of 459041467560 is 65764140954.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 555067867 + ... + 555068693.

It is an arithmetic number, because the mean of its divisors is an integer number (3112886700).

Almost surely, 2^459041467560 is an apocalyptic number.

459041467560 is a gapful number since it is divisible by the number (40) 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 459041467560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796898995200).

459041467560 is an abundant number, since it is smaller than the sum of its proper divisors (1134756522840).

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

459041467560 is a wasteful number, since it uses less digits than its factorization.

459041467560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 459041467560 in words is "four hundred fifty-nine billion, forty-one million, four hundred sixty-seven thousand, five hundred sixty".