459351680 has 64 divisors (see below), whose sum is σ = 1121575680. Its totient is φ = 179819520.

The previous prime is 459351647. The next prime is 459351701. The reversal of 459351680 is 86153954.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×459351680² = 422007931837644800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22445 + ... + 37715.

It is an arithmetic number, because the mean of its divisors is an integer number (17524620).

Almost surely, 2^459351680 is an apocalyptic number.

459351680 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 459351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560787840).

459351680 is an abundant number, since it is smaller than the sum of its proper divisors (662224000).

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

459351680 is a wasteful number, since it uses less digits than its factorization.

459351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15337 (or 15325 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 459351680 is about 21432.4912224408. The cubic root of 459351680 is about 771.5814352501.

The spelling of 459351680 in words is "four hundred fifty-nine million, three hundred fifty-one thousand, six hundred eighty".