452544400 has 180 divisors, whose sum is σ = 1380380400. Its totient is φ = 140985600.

The previous prime is 452544377. The next prime is 452544401. The reversal of 452544400 is 4445254.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (452544401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214551 + ... + 216649.

It is an arithmetic number, because the mean of its divisors is an integer number (7668780).

Almost surely, 2^452544400 is an apocalyptic number.

452544400 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 452544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690190200).

452544400 is an abundant number, since it is smaller than the sum of its proper divisors (927836000).

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

452544400 is a wasteful number, since it uses less digits than its factorization.

452544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 452544400 is about 21273.0909836817. The cubic root of 452544400 is about 767.7510133986.

Adding to 452544400 its reverse (4445254), we get a palindrome (456989654).

The spelling of 452544400 in words is "four hundred fifty-two million, five hundred forty-four thousand, four hundred".