452433006560 has 96 divisors (see below), whose sum is σ = 1077625285632. Its totient is φ = 179496092160.

The previous prime is 452433006559. The next prime is 452433006581. The reversal of 452433006560 is 65600334254.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12353075 + ... + 12389645.

It is an arithmetic number, because the mean of its divisors is an integer number (11225263392).

Almost surely, 2^452433006560 is an apocalyptic number.

452433006560 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 452433006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538812642816).

452433006560 is an abundant number, since it is smaller than the sum of its proper divisors (625192279072).

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

452433006560 is a wasteful number, since it uses less digits than its factorization.

452433006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37216 (or 37208 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 452433006560 in words is "four hundred fifty-two billion, four hundred thirty-three million, six thousand, five hundred sixty".