459504739680 has 192 divisors, whose sum is σ = 1655448979968. Its totient is φ = 104951439360.

The previous prime is 459504739663. The next prime is 459504739717. The reversal of 459504739680 is 86937405954.

It is a super-2 number, since 2×459504739680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 4522719 + ... + 4623201.

It is an arithmetic number, because the mean of its divisors is an integer number (8622130104).

Almost surely, 2^459504739680 is an apocalyptic number.

459504739680 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 459504739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827724489984).

459504739680 is an abundant number, since it is smaller than the sum of its proper divisors (1195944240288).

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

459504739680 is a wasteful number, since it uses less digits than its factorization.

459504739680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101869 (or 101861 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 459504739680 in words is "four hundred fifty-nine billion, five hundred four million, seven hundred thirty-nine thousand, six hundred eighty".