452413105200 has 360 divisors, whose sum is σ = 1899832697568. Its totient is φ = 97325752320.

The previous prime is 452413105171. The next prime is 452413105201. The reversal of 452413105200 is 2501314254.

452413105200 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 131 + 0 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (452413105201) by changing a digit.

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, 99627 + ... + 956426.

Almost surely, 2^452413105200 is an apocalyptic number.

452413105200 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 452413105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949916348784).

452413105200 is an abundant number, since it is smaller than the sum of its proper divisors (1447419592368).

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

452413105200 is a wasteful number, since it uses less digits than its factorization.

452413105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056101 (or 1056087 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 452413105200 its reverse (2501314254), we get a palindrome (454914419454).

The spelling of 452413105200 in words is "four hundred fifty-two billion, four hundred thirteen million, one hundred five thousand, two hundred".