452113534400 has 336 divisors, whose sum is σ = 1235871292032. Its totient is φ = 161407488000.

The previous prime is 452113534361. The next prime is 452113534403. The reversal of 452113534400 is 4435311254.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452113534403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550685990 + ... + 550686810.

Almost surely, 2^452113534400 is an apocalyptic number.

452113534400 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 452113534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617935646016).

452113534400 is an abundant number, since it is smaller than the sum of its proper divisors (783757757632).

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

452113534400 is a wasteful number, since it uses less digits than its factorization.

452113534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 452113534400 its reverse (4435311254), we get a palindrome (456548845654).

The spelling of 452113534400 in words is "four hundred fifty-two billion, one hundred thirteen million, five hundred thirty-four thousand, four hundred".