452488800 has 144 divisors (see below), whose sum is σ = 1550525760. Its totient is φ = 114301440.

The previous prime is 452488783. The next prime is 452488807. The reversal of 452488800 is 8884254.

It is a super-2 number, since 2×452488800² = 409492228250880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452488807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40639 + ... + 50561.

It is an arithmetic number, because the mean of its divisors is an integer number (10767540).

Almost surely, 2^452488800 is an apocalyptic number.

452488800 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 452488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775262880).

452488800 is an abundant number, since it is smaller than the sum of its proper divisors (1098036960).

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

452488800 is a wasteful number, since it uses less digits than its factorization.

452488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965 (or 9952 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 452488800 is about 21271.7841282766. The cubic root of 452488800 is about 767.7195699243.

The spelling of 452488800 in words is "four hundred fifty-two million, four hundred eighty-eight thousand, eight hundred".