452480643072 has 832 divisors, whose sum is σ = 1528637184000. Its totient is φ = 131393912832.

The previous prime is 452480643071. The next prime is 452480643101. The reversal of 452480643072 is 270346084254.

It is a happy number.

452480643072 is a `hidden beast` number, since 4 + 524 + 80 + 6 + 43 + 0 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (452480643071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1893224329 + ... + 1893224567.

Almost surely, 2^452480643072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452480643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764318592000).

452480643072 is an abundant number, since it is smaller than the sum of its proper divisors (1076156540928).

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

452480643072 is a wasteful number, since it uses less digits than its factorization.

452480643072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 452480643072 in words is "four hundred fifty-two billion, four hundred eighty million, six hundred forty-three thousand, seventy-two".