459005460480 has 1152 divisors, whose sum is σ = 1919311486560. Its totient is φ = 103195607040.

The previous prime is 459005460457. The next prime is 459005460481. The reversal of 459005460480 is 84064500954.

459005460480 is a `hidden beast` number, since 4 + 590 + 0 + 54 + 6 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459005460481) 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 71 ways as a sum of consecutive naturals, for example, 7524679650 + ... + 7524679710.

Almost surely, 2^459005460480 is an apocalyptic number.

459005460480 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 459005460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959655743280).

459005460480 is an abundant number, since it is smaller than the sum of its proper divisors (1460306026080).

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

459005460480 is an frugal number, since it uses more digits than its factorization.

459005460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 459005460480 in words is "four hundred fifty-nine billion, five million, four hundred sixty thousand, four hundred eighty".