452095868640 has 384 divisors, whose sum is σ = 1548082392192. Its totient is φ = 110242529280.

The previous prime is 452095868621. The next prime is 452095868671. The reversal of 452095868640 is 46868590254.

It is a happy number.

It is a super-2 number, since 2×452095868640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 530006454 + ... + 530007306.

It is an arithmetic number, because the mean of its divisors is an integer number (4031464563).

Almost surely, 2^452095868640 is an apocalyptic number.

452095868640 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 452095868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774041196096).

452095868640 is an abundant number, since it is smaller than the sum of its proper divisors (1095986523552).

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

452095868640 is a wasteful number, since it uses less digits than its factorization.

452095868640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 452095868640 in words is "four hundred fifty-two billion, ninety-five million, eight hundred sixty-eight thousand, six hundred forty".