452901433600 has 648 divisors, whose sum is σ = 1506445643808. Its totient is φ = 132843110400.

The previous prime is 452901433573. The next prime is 452901433627. The reversal of 452901433600 is 6334109254.

It is an interprime number because it is at equal distance from previous prime (452901433573) and next prime (452901433627).

It is a self number, because there is not a number n which added to its sum of digits gives 452901433600.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58639339 + ... + 58647061.

It is an arithmetic number, because the mean of its divisors is an integer number (2324761796).

Almost surely, 2^452901433600 is an apocalyptic number.

452901433600 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 452901433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753222821904).

452901433600 is an abundant number, since it is smaller than the sum of its proper divisors (1053544210208).

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

452901433600 is a wasteful number, since it uses less digits than its factorization.

452901433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7791 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 452901433600 in words is "four hundred fifty-two billion, nine hundred one million, four hundred thirty-three thousand, six hundred".