459720107280 has 800 divisors, whose sum is σ = 1982890229760. Its totient is φ = 96331576320.

The previous prime is 459720107279. The next prime is 459720107281. The reversal of 459720107280 is 82701027954.

It is a happy number.

459720107280 is a `hidden beast` number, since 4 + 597 + 20 + 10 + 7 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (459720107279) and next prime (459720107281).

It is a super-2 number, since 2×459720107280² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (459720107281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26708437 + ... + 26725643.

Almost surely, 2^459720107280 is an apocalyptic number.

459720107280 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 459720107280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991445114880).

459720107280 is an abundant number, since it is smaller than the sum of its proper divisors (1523170122480).

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

459720107280 is a wasteful number, since it uses less digits than its factorization.

459720107280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17289 (or 17274 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 459720107280 in words is "four hundred fifty-nine billion, seven hundred twenty million, one hundred seven thousand, two hundred eighty".