452104400000 has 288 divisors, whose sum is σ = 1237553330580. Its totient is φ = 164384000000.

The previous prime is 452104399997. The next prime is 452104400003. The reversal of 452104400000 is 4401254.

It is an interprime number because it is at equal distance from previous prime (452104399997) and next prime (452104400003).

It can be written as a sum of positive squares in 6 ways, for example, as 88418211904 + 363686188096 = 297352^2 + 603064^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (452104400003) 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, 48395330 + ... + 48404670.

Almost surely, 2^452104400000 is an apocalyptic number.

452104400000 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 452104400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618776665290).

452104400000 is an abundant number, since it is smaller than the sum of its proper divisors (785448930580).

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

452104400000 is an frugal number, since it uses more digits than its factorization.

452104400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9402 (or 9359 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 452104400000 its reverse (4401254), we get a palindrome (452108801254).

The spelling of 452104400000 in words is "four hundred fifty-two billion, one hundred four million, four hundred thousand".