452565120 has 256 divisors, whose sum is σ = 1666990080. Its totient is φ = 102297600.

The previous prime is 452565103. The next prime is 452565151. The reversal of 452565120 is 21565254.

It is a super-2 number, since 2×452565120² = 409630375681228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 2029329 + ... + 2029551.

It is an arithmetic number, because the mean of its divisors is an integer number (6511680).

Almost surely, 2^452565120 is an apocalyptic number.

452565120 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 452565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833495040).

452565120 is an abundant number, since it is smaller than the sum of its proper divisors (1214424960).

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

452565120 is a wasteful number, since it uses less digits than its factorization.

452565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 452565120 is about 21273.5779783280. The cubic root of 452565120 is about 767.7627305239.

The spelling of 452565120 in words is "four hundred fifty-two million, five hundred sixty-five thousand, one hundred twenty".