452508800000 has 264 divisors, whose sum is σ = 1158559831800. Its totient is φ = 176537600000.

The previous prime is 452508799991. The next prime is 452508800047. The reversal of 452508800000 is 8805254.

It can be written as a sum of positive squares in 12 ways, for example, as 307962843136 + 144545956864 = 554944^2 + 380192^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 452508800000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131198276 + ... + 131201724.

Almost surely, 2^452508800000 is an apocalyptic number.

452508800000 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 452508800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579279915900).

452508800000 is an abundant number, since it is smaller than the sum of its proper divisors (706051031800).

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

452508800000 is an frugal number, since it uses more digits than its factorization.

452508800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

It can be divided in two parts, 45 and 2508800000, that multiplied together give a square (112896000000 = 336000²).

The spelling of 452508800000 in words is "four hundred fifty-two billion, five hundred eight million, eight hundred thousand".