452415233200 has 240 divisors, whose sum is σ = 1267852066560. Its totient is φ = 151930229760.

The previous prime is 452415233119. The next prime is 452415233267. The reversal of 452415233200 is 2332514254.

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 47 ways as a sum of consecutive naturals, for example, 46746762 + ... + 46756438.

It is an arithmetic number, because the mean of its divisors is an integer number (5282716944).

Almost surely, 2^452415233200 is an apocalyptic number.

452415233200 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 452415233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633926033280).

452415233200 is an abundant number, since it is smaller than the sum of its proper divisors (815436833360).

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

452415233200 is a wasteful number, since it uses less digits than its factorization.

452415233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 452415233200 its reverse (2332514254), we get a palindrome (454747747454).

The spelling of 452415233200 in words is "four hundred fifty-two billion, four hundred fifteen million, two hundred thirty-three thousand, two hundred".