452306534400 has 972 divisors, whose sum is σ = 1890809671842. Its totient is φ = 103054049280.

The previous prime is 452306534371. The next prime is 452306534401. The reversal of 452306534400 is 4435603254.

452306534400 is a `hidden beast` number, since 4 + 5 + 2 + 306 + 5 + 344 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 180373487616 + 271933046784 = 424704^2 + 521472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (452306534401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1445068644 + ... + 1445068956.

Almost surely, 2^452306534400 is an apocalyptic number.

452306534400 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 452306534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945404835921).

452306534400 is an abundant number, since it is smaller than the sum of its proper divisors (1438503137442).

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

452306534400 is an equidigital number, since it uses as much as digits as its factorization.

452306534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 452306534400 in words is "four hundred fifty-two billion, three hundred six million, five hundred thirty-four thousand, four hundred".