452251800 has 576 divisors, whose sum is σ = 2047368960. Its totient is φ = 86400000.

The previous prime is 452251763. The next prime is 452251801. The reversal of 452251800 is 8152254.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452251801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1801675 + ... + 1801925.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^452251800 is an apocalyptic number.

452251800 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 452251800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023684480).

452251800 is an abundant number, since it is smaller than the sum of its proper divisors (1595117160).

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

452251800 is a wasteful number, since it uses less digits than its factorization.

452251800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 452251800 is about 21266.2126388316. The cubic root of 452251800 is about 767.5855103897.

It can be divided in two parts, 452 and 251800, that added together give a palindrome (252252).

The spelling of 452251800 in words is "four hundred fifty-two million, two hundred fifty-one thousand, eight hundred".