452608000 has 240 divisors, whose sum is σ = 1288136304. Its totient is φ = 157286400.

The previous prime is 452607977. The next prime is 452608001. The reversal of 452608000 is 806254.

It can be written as a sum of positive squares in 8 ways, for example, as 167133184 + 285474816 = 12928^2 + 16896^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452608001) 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, 26623992 + ... + 26624008.

Almost surely, 2^452608000 is an apocalyptic number.

452608000 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 452608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644068152).

452608000 is an abundant number, since it is smaller than the sum of its proper divisors (835528304).

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

452608000 is an equidigital number, since it uses as much as digits as its factorization.

452608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 452608000 is about 21274.5857774012. The cubic root of 452608000 is about 767.7869779561.

The spelling of 452608000 in words is "four hundred fifty-two million, six hundred eight thousand".