452565000 has 240 divisors, whose sum is σ = 1562546700. Its totient is φ = 118272000.

The previous prime is 452564989. The next prime is 452565013. The reversal of 452565000 is 565254.

452565000 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 650 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 221950404 + 230614596 = 14898^2 + 15186^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4004944 + ... + 4005056.

Almost surely, 2^452565000 is an apocalyptic number.

452565000 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 452565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781273350).

452565000 is an abundant number, since it is smaller than the sum of its proper divisors (1109981700).

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

452565000 is a wasteful number, since it uses less digits than its factorization.

452565000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 452565000 is about 21273.5751579277. The cubic root of 452565000 is about 767.7626626651.

The spelling of 452565000 in words is "four hundred fifty-two million, five hundred sixty-five thousand".