459268480 has 128 divisors (see below), whose sum is σ = 1212861600. Its totient is φ = 164904960.

The previous prime is 459268471. The next prime is 459268483. The reversal of 459268480 is 84862954.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 459268480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459268483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626194 + ... + 626926.

Almost surely, 2^459268480 is an apocalyptic number.

459268480 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 459268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606430800).

459268480 is an abundant number, since it is smaller than the sum of its proper divisors (753593120).

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

459268480 is a wasteful number, since it uses less digits than its factorization.

459268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The square root of 459268480 is about 21430.5501562606. The cubic root of 459268480 is about 771.5348482491.

The spelling of 459268480 in words is "four hundred fifty-nine million, two hundred sixty-eight thousand, four hundred eighty".