459967875840 has 432 divisors, whose sum is σ = 1740461748480. Its totient is φ = 111228395520.

The previous prime is 459967875833. The next prime is 459967875847. The reversal of 459967875840 is 48578769954.

459967875840 is a `hidden beast` number, since 459 + 9 + 6 + 7 + 87 + 58 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (459967875833) and next prime (459967875847).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (459967875847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53091349 + ... + 53100011.

It is an arithmetic number, because the mean of its divisors is an integer number (4028846640).

Almost surely, 2^459967875840 is an apocalyptic number.

459967875840 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 459967875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870230874240).

459967875840 is an abundant number, since it is smaller than the sum of its proper divisors (1280493872640).

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

459967875840 is a wasteful number, since it uses less digits than its factorization.

459967875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120 (or 9103 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 459967875840 in words is "four hundred fifty-nine billion, nine hundred sixty-seven million, eight hundred seventy-five thousand, eight hundred forty".