452273582880 has 504 divisors, whose sum is σ = 1863588132252. Its totient is φ = 103375512576.

The previous prime is 452273582869. The next prime is 452273582897. The reversal of 452273582880 is 88285372254.

452273582880 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 7 + 358 + 288 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 439584912144 + 12688670736 = 663012^2 + 112644^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×452273582880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5675794 + ... + 5754926.

Almost surely, 2^452273582880 is an apocalyptic number.

452273582880 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 452273582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931794066126).

452273582880 is an abundant number, since it is smaller than the sum of its proper divisors (1411314549372).

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

452273582880 is an equidigital number, since it uses as much as digits as its factorization.

452273582880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79180 (or 79150 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 452273582880 in words is "four hundred fifty-two billion, two hundred seventy-three million, five hundred eighty-two thousand, eight hundred eighty".