459967680 has 224 divisors, whose sum is σ = 1638604800. Its totient is φ = 121457664.

The previous prime is 459967649. The next prime is 459967681. The reversal of 459967680 is 86769954.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (459967681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1200769 + ... + 1201151.

It is an arithmetic number, because the mean of its divisors is an integer number (7315200).

Almost surely, 2^459967680 is an apocalyptic number.

459967680 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 459967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819302400).

459967680 is an abundant number, since it is smaller than the sum of its proper divisors (1178637120).

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

459967680 is a wasteful number, since it uses less digits than its factorization.

459967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 459967680 is about 21446.8571124069. The cubic root of 459967680 is about 771.9261833543.

The spelling of 459967680 in words is "four hundred fifty-nine million, nine hundred sixty-seven thousand, six hundred eighty".