452407606164 has 72 divisors (see below), whose sum is σ = 1165953500712. Its totient is φ = 147876848640.

The previous prime is 452407606153. The next prime is 452407606171. The reversal of 452407606164 is 461606704254.

452407606164 is a `hidden beast` number, since 4 + 5 + 24 + 0 + 7 + 6 + 0 + 616 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166674594564 + 285733011600 = 408258^2 + 534540^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42897 + ... + 952184.

It is an arithmetic number, because the mean of its divisors is an integer number (16193798621).

Almost surely, 2^452407606164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452407606164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582976750356).

452407606164 is an abundant number, since it is smaller than the sum of its proper divisors (713545894548).

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

452407606164 is a wasteful number, since it uses less digits than its factorization.

452407606164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995337 (or 995332 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 452407606164 in words is "four hundred fifty-two billion, four hundred seven million, six hundred six thousand, one hundred sixty-four".