452800032 has 96 divisors (see below), whose sum is σ = 1270769472. Its totient is φ = 140673024.

The previous prime is 452800031. The next prime is 452800063. The reversal of 452800032 is 230008254.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 452799975 and 452800011.

It is not an unprimeable number, because it can be changed into a prime (452800031) 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, 173328 + ... + 175920.

It is an arithmetic number, because the mean of its divisors is an integer number (13237182).

Almost surely, 2^452800032 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 452800032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635384736).

452800032 is an abundant number, since it is smaller than the sum of its proper divisors (817969440).

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

452800032 is a wasteful number, since it uses less digits than its factorization.

452800032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 452800032 is about 21279.0984771442. The cubic root of 452800032 is about 767.8955478606.

Adding to 452800032 its reverse (230008254), we get a palindrome (682808286).

The spelling of 452800032 in words is "four hundred fifty-two million, eight hundred thousand, thirty-two".