452714745600 has 864 divisors, whose sum is σ = 1811095193600. Its totient is φ = 109983744000.

The previous prime is 452714745541. The next prime is 452714745619. The reversal of 452714745600 is 6547417254.

452714745600 is a `hidden beast` number, since 4 + 5 + 2 + 7 + 14 + 74 + 560 + 0 = 666.

452714745600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177464325 + ... + 177466875.

Almost surely, 2^452714745600 is an apocalyptic number.

452714745600 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 452714745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905547596800).

452714745600 is an abundant number, since it is smaller than the sum of its proper divisors (1358380448000).

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

452714745600 is a wasteful number, since it uses less digits than its factorization.

452714745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 452714745600 in words is "four hundred fifty-two billion, seven hundred fourteen million, seven hundred forty-five thousand, six hundred".