452789568 has 448 divisors, whose sum is σ = 1720535040. Its totient is φ = 113356800.

The previous prime is 452789567. The next prime is 452789573. The reversal of 452789568 is 865987254.

452789568 is a `hidden beast` number, since 4 + 5 + 2 + 78 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452789567) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5455255 + ... + 5455337.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2^452789568 is an apocalyptic number.

452789568 is a gapful number since it is divisible by the number (48) 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 452789568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860267520).

452789568 is an abundant number, since it is smaller than the sum of its proper divisors (1267745472).

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

452789568 is a wasteful number, since it uses less digits than its factorization.

452789568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 452789568 is about 21278.8526006456. The cubic root of 452789568 is about 767.8896325776.

The spelling of 452789568 in words is "four hundred fifty-two million, seven hundred eighty-nine thousand, five hundred sixty-eight".