452984832000 has 448 divisors, whose sum is σ = 1675037239200. Its totient is φ = 120795955200.

The previous prime is 452984831977. The next prime is 452984832007. The reversal of 452984832000 is 238489254.

The cubic root of 452984832000 is 7680.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (5!)³ ⋅ (2!)¹⁸.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452984832007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90596966398 + ... + 90596966402.

Almost surely, 2^452984832000 is an apocalyptic number.

452984832000 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 452984832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837518619600).

452984832000 is an abundant number, since it is smaller than the sum of its proper divisors (1222052407200).

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

452984832000 is an frugal number, since it uses more digits than its factorization.

452984832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 452984832000 in words is "four hundred fifty-two billion, nine hundred eighty-four million, eight hundred thirty-two thousand".