459725321456 has 80 divisors (see below), whose sum is σ = 978194802240. Its totient is φ = 208409702400.

The previous prime is 459725321441. The next prime is 459725321483. The reversal of 459725321456 is 654123527954.

It is a happy number.

It is a super-2 number, since 2×459725321456² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 459725321398 and 459725321407.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 790325 + ... + 1242603.

It is an arithmetic number, because the mean of its divisors is an integer number (12227435028).

Almost surely, 2^459725321456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459725321456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489097401120).

459725321456 is an abundant number, since it is smaller than the sum of its proper divisors (518469480784).

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

459725321456 is a wasteful number, since it uses less digits than its factorization.

459725321456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452442 (or 452436 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 53.

The spelling of 459725321456 in words is "four hundred fifty-nine billion, seven hundred twenty-five million, three hundred twenty-one thousand, four hundred fifty-six".