452106547200 has 1872 divisors, whose sum is σ = 2114312818176. Its totient is φ = 89535283200.

The previous prime is 452106547199. The next prime is 452106547247. The reversal of 452106547200 is 2745601254.

It is a happy number.

452106547200 is a `hidden beast` number, since 4 + 5 + 2 + 106 + 547 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×452106547200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1632153462 + ... + 1632153738.

It is an arithmetic number, because the mean of its divisors is an integer number (1129440608).

Almost surely, 2^452106547200 is an apocalyptic number.

452106547200 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 452106547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057156409088).

452106547200 is an abundant number, since it is smaller than the sum of its proper divisors (1662206270976).

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

452106547200 is a wasteful number, since it uses less digits than its factorization.

452106547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 452106547200 in words is "four hundred fifty-two billion, one hundred six million, five hundred forty-seven thousand, two hundred".