459805385376 has 72 divisors (see below), whose sum is σ = 1356000164064. Its totient is φ = 153268459200.

The previous prime is 459805385363. The next prime is 459805385399. The reversal of 459805385376 is 673583508954.

459805385376 is a `hidden beast` number, since 4 + 5 + 98 + 0 + 5 + 3 + 8 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×459805385376² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29557900 + ... + 29573451.

It is an arithmetic number, because the mean of its divisors is an integer number (18833335612).

Almost surely, 2^459805385376 is an apocalyptic number.

It is an amenable number.

459805385376 is an abundant number, since it is smaller than the sum of its proper divisors (896194778688).

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

459805385376 is an equidigital number, since it uses as much as digits as its factorization.

459805385376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59131376 (or 59131356 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 459805385376 in words is "four hundred fifty-nine billion, eight hundred five million, three hundred eighty-five thousand, three hundred seventy-six".