452124505728 has 256 divisors, whose sum is σ = 1529576006400. Its totient is φ = 128792788992.

The previous prime is 452124505699. The next prime is 452124505739. The reversal of 452124505728 is 827505421254.

452124505728 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 24 + 50 + 572 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8124976 + ... + 8180432.

It is an arithmetic number, because the mean of its divisors is an integer number (5974906275).

Almost surely, 2^452124505728 is an apocalyptic number.

452124505728 is a gapful number since it is divisible by the number (48) 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 452124505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764788003200).

452124505728 is an abundant number, since it is smaller than the sum of its proper divisors (1077451500672).

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

452124505728 is a wasteful number, since it uses less digits than its factorization.

452124505728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55824 (or 55806 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 452124505728 in words is "four hundred fifty-two billion, one hundred twenty-four million, five hundred five thousand, seven hundred twenty-eight".