452230430400 has 1344 divisors, whose sum is σ = 2047995904000. Its totient is φ = 94730342400.

The previous prime is 452230430371. The next prime is 452230430413. The reversal of 452230430400 is 4034032254.

452230430400 is a `hidden beast` number, since 4 + 5 + 223 + 0 + 4 + 30 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 178112331 + ... + 178114869.

Almost surely, 2^452230430400 is an apocalyptic number.

452230430400 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 452230430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023997952000).

452230430400 is an abundant number, since it is smaller than the sum of its proper divisors (1595765473600).

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

452230430400 is a wasteful number, since it uses less digits than its factorization.

452230430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 452230430400 its reverse (4034032254), we get a palindrome (456264462654).

The spelling of 452230430400 in words is "four hundred fifty-two billion, two hundred thirty million, four hundred thirty thousand, four hundred".