459509261664 has 48 divisors (see below), whose sum is σ = 1206464995008. Its totient is φ = 153137603712.

The previous prime is 459509261611. The next prime is 459509261669. The reversal of 459509261664 is 466162905954.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×459509261664² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459509261669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40402 + ... + 959505.

It is an arithmetic number, because the mean of its divisors is an integer number (25134687396).

Almost surely, 2^459509261664 is an apocalyptic number.

It is an amenable number.

459509261664 is an abundant number, since it is smaller than the sum of its proper divisors (746955733344).

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

459509261664 is a wasteful number, since it uses less digits than its factorization.

459509261664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004707 (or 1004699 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 459509261664 in words is "four hundred fifty-nine billion, five hundred nine million, two hundred sixty-one thousand, six hundred sixty-four".