452808607680 has 1344 divisors, whose sum is σ = 1955510968320. Its totient is φ = 94600396800.

The previous prime is 452808607673. The next prime is 452808607681. The reversal of 452808607680 is 86706808254.

452808607680 is a `hidden beast` number, since 4 + 5 + 28 + 0 + 8 + 607 + 6 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452808607681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 370243549 + ... + 370244771.

It is an arithmetic number, because the mean of its divisors is an integer number (1454993280).

Almost surely, 2^452808607680 is an apocalyptic number.

452808607680 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 452808607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977755484160).

452808607680 is an abundant number, since it is smaller than the sum of its proper divisors (1502702360640).

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

452808607680 is a wasteful number, since it uses less digits than its factorization.

452808607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 452808607680 in words is "four hundred fifty-two billion, eight hundred eight million, six hundred seven thousand, six hundred eighty".