452064000 has 288 divisors, whose sum is σ = 1595595456. Its totient is φ = 113049600.

The previous prime is 452063987. The next prime is 452064007. The reversal of 452064000 is 460254.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (452064007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631862 + ... + 1632138.

It is an arithmetic number, because the mean of its divisors is an integer number (5540262).

Almost surely, 2^452064000 is an apocalyptic number.

452064000 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 452064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797797728).

452064000 is an abundant number, since it is smaller than the sum of its proper divisors (1143531456).

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

452064000 is a wasteful number, since it uses less digits than its factorization.

452064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 452064000 is about 21261.7967255827. The cubic root of 452064000 is about 767.4792476714.

The spelling of 452064000 in words is "four hundred fifty-two million, sixty-four thousand".