452809200 has 120 divisors (see below), whose sum is σ = 1455661296. Its totient is φ = 120320000.

The previous prime is 452809183. The next prime is 452809223. The reversal of 452809200 is 2908254.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 480730 + ... + 481670.

Almost surely, 2^452809200 is an apocalyptic number.

452809200 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 452809200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727830648).

452809200 is an abundant number, since it is smaller than the sum of its proper divisors (1002852096).

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

452809200 is a wasteful number, since it uses less digits than its factorization.

452809200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 452809200 is about 21279.3138987139. The cubic root of 452809200 is about 767.9007304418.

The spelling of 452809200 in words is "four hundred fifty-two million, eight hundred nine thousand, two hundred".