459503484 has 96 divisors (see below), whose sum is σ = 1199923200. Its totient is φ = 135686400.

The previous prime is 459503479. The next prime is 459503501. The reversal of 459503484 is 484305954.

It is a super-2 number, since 2×459503484² = 422286903616276512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1199557 + ... + 1199939.

It is an arithmetic number, because the mean of its divisors is an integer number (12499200).

Almost surely, 2^459503484 is an apocalyptic number.

459503484 is a gapful number since it is divisible by the number (44) 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 459503484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

459503484 is an abundant number, since it is smaller than the sum of its proper divisors (740419716).

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

459503484 is a wasteful number, since it uses less digits than its factorization.

459503484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 459503484 is about 21436.0323754187. The cubic root of 459503484 is about 771.6664218758. Note that the first 3 decimals are identical.

The spelling of 459503484 in words is "four hundred fifty-nine million, five hundred three thousand, four hundred eighty-four".