459738439680 has 448 divisors, whose sum is σ = 1604726645760. Its totient is φ = 111703228416.

The previous prime is 459738439669. The next prime is 459738439711. The reversal of 459738439680 is 86934837954.

It is a super-2 number, since 2×459738439680² (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 31 ways as a sum of consecutive naturals, for example, 126195939 + ... + 126199581.

It is an arithmetic number, because the mean of its divisors is an integer number (3581979120).

Almost surely, 2^459738439680 is an apocalyptic number.

459738439680 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 459738439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802363322880).

459738439680 is an abundant number, since it is smaller than the sum of its proper divisors (1144988206080).

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

459738439680 is a wasteful number, since it uses less digits than its factorization.

459738439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 459738439680 in words is "four hundred fifty-nine billion, seven hundred thirty-eight million, four hundred thirty-nine thousand, six hundred eighty".