452848200 has 288 divisors, whose sum is σ = 1663241760. Its totient is φ = 101606400.

The previous prime is 452848199. The next prime is 452848213. The reversal of 452848200 is 2848254.

452848200 = 3016² + 3017² + ... + 3064².

It is a happy number.

452848200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2146095 + ... + 2146305.

It is an arithmetic number, because the mean of its divisors is an integer number (5775145).

Almost surely, 2^452848200 is an apocalyptic number.

452848200 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 452848200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831620880).

452848200 is an abundant number, since it is smaller than the sum of its proper divisors (1210393560).

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

452848200 is a wasteful number, since it uses less digits than its factorization.

452848200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 452848200 is about 21280.2302619121. The cubic root of 452848200 is about 767.9227759809.

The spelling of 452848200 in words is "four hundred fifty-two million, eight hundred forty-eight thousand, two hundred".