459204480 has 288 divisors, whose sum is σ = 1845712440. Its totient is φ = 104896512.

The previous prime is 459204467. The next prime is 459204503. The reversal of 459204480 is 84402954.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281427 + ... + 283053.

Almost surely, 2^459204480 is an apocalyptic number.

459204480 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 459204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922856220).

459204480 is an abundant number, since it is smaller than the sum of its proper divisors (1386507960).

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

459204480 is a wasteful number, since it uses less digits than its factorization.

459204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 459204480 is about 21429.0569087863. The cubic root of 459204480 is about 771.4990082657.

It can be divided in two parts, 459204 and 480, that added together give a square (459684 = 678²).

The spelling of 459204480 in words is "four hundred fifty-nine million, two hundred four thousand, four hundred eighty".