459201480 has 64 divisors (see below), whose sum is σ = 1379548800. Its totient is φ = 122280960.

The previous prime is 459201469. The next prime is 459201497. The reversal of 459201480 is 84102954.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98400 + ... + 102960.

It is an arithmetic number, because the mean of its divisors is an integer number (21555450).

Almost surely, 2^459201480 is an apocalyptic number.

459201480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459201480 is an abundant number, since it is smaller than the sum of its proper divisors (920347320).

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

459201480 is a wasteful number, since it uses less digits than its factorization.

459201480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 459201480 is about 21428.9869102578. The cubic root of 459201480 is about 771.4973281847.

The spelling of 459201480 in words is "four hundred fifty-nine million, two hundred one thousand, four hundred eighty".