452720089224 has 480 divisors, whose sum is σ = 1417945605120. Its totient is φ = 134809339392.

The previous prime is 452720089207. The next prime is 452720089229. The reversal of 452720089224 is 422980027254.

452720089224 is a `hidden beast` number, since 4 + 527 + 20 + 0 + 89 + 2 + 24 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 452720089224.

It is not an unprimeable number, because it can be changed into a prime (452720089229) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 598044654 + ... + 598045410.

It is an arithmetic number, because the mean of its divisors is an integer number (2954053344).

Almost surely, 2^452720089224 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 452720089224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708972802560).

452720089224 is an abundant number, since it is smaller than the sum of its proper divisors (965225515896).

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

452720089224 is a wasteful number, since it uses less digits than its factorization.

452720089224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 452720089224 in words is "four hundred fifty-two billion, seven hundred twenty million, eighty-nine thousand, two hundred twenty-four".