452865905856 has 336 divisors, whose sum is σ = 1667838960480. Its totient is φ = 119436871680.

The previous prime is 452865905831. The next prime is 452865905867. The reversal of 452865905856 is 658509568254.

452865905856 is a `hidden beast` number, since 4 + 528 + 6 + 5 + 9 + 0 + 58 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 452865905793 and 452865905802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895026 + ... + 1306446.

It is an arithmetic number, because the mean of its divisors is an integer number (4963806430).

Almost surely, 2^452865905856 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 452865905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833919480240).

452865905856 is an abundant number, since it is smaller than the sum of its proper divisors (1214973054624).

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

452865905856 is a wasteful number, since it uses less digits than its factorization.

452865905856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411469 (or 411446 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 452865905856 in words is "four hundred fifty-two billion, eight hundred sixty-five million, nine hundred five thousand, eight hundred fifty-six".