459974460 has 96 divisors (see below), whose sum is σ = 1424408832. Its totient is φ = 109969920.

The previous prime is 459974453. The next prime is 459974461. The reversal of 459974460 is 64479954.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459974461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43407 + ... + 52953.

It is an arithmetic number, because the mean of its divisors is an integer number (14837592).

Almost surely, 2^459974460 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 459974460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712204416).

459974460 is an abundant number, since it is smaller than the sum of its proper divisors (964434372).

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

459974460 is a wasteful number, since it uses less digits than its factorization.

459974460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9643 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 459974460 is about 21447.0151769425. The cubic root of 459974460 is about 771.9299761091.

The spelling of 459974460 in words is "four hundred fifty-nine million, nine hundred seventy-four thousand, four hundred sixty".