459831968640 has 768 divisors, whose sum is σ = 1858037875200. Its totient is φ = 103600373760.

The previous prime is 459831968633. The next prime is 459831968653. The reversal of 459831968640 is 46869138954.

459831968640 is a `hidden beast` number, since 4 + 598 + 31 + 9 + 6 + 8 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×459831968640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63799917 + ... + 63807123.

It is an arithmetic number, because the mean of its divisors is an integer number (2419320150).

Almost surely, 2^459831968640 is an apocalyptic number.

459831968640 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 459831968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929018937600).

459831968640 is an abundant number, since it is smaller than the sum of its proper divisors (1398205906560).

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

459831968640 is a wasteful number, since it uses less digits than its factorization.

459831968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315 (or 7300 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 459831968640 in words is "four hundred fifty-nine billion, eight hundred thirty-one million, nine hundred sixty-eight thousand, six hundred forty".