452196000 has 384 divisors, whose sum is σ = 1698278400. Its totient is φ = 116812800.

The previous prime is 452195993. The next prime is 452196007. The reversal of 452196000 is 691254.

452196000 is a `hidden beast` number, since 4 + 52 + 1 + 9 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (452195993) and next prime (452196007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (452196007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5723961 + ... + 5724039.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^452196000 is an apocalyptic number.

452196000 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 452196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849139200).

452196000 is an abundant number, since it is smaller than the sum of its proper divisors (1246082400).

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

452196000 is a wasteful number, since it uses less digits than its factorization.

452196000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 452196000 is about 21264.9006581268. The cubic root of 452196000 is about 767.5539401942.

The spelling of 452196000 in words is "four hundred fifty-two million, one hundred ninety-six thousand".