452859680 has 192 divisors, whose sum is σ = 1386927360. Its totient is φ = 135696384.

The previous prime is 452859677. The next prime is 452859697. The reversal of 452859680 is 86958254.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275822 + ... + 277458.

It is an arithmetic number, because the mean of its divisors is an integer number (7223580).

Almost surely, 2^452859680 is an apocalyptic number.

452859680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 21280×21281.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693463680).

452859680 is an abundant number, since it is smaller than the sum of its proper divisors (934067680).

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

452859680 is a wasteful number, since it uses less digits than its factorization.

452859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The square root of 452859680 is about 21280.4999941261. The cubic root of 452859680 is about 767.9292650420.

The spelling of 452859680 in words is "four hundred fifty-two million, eight hundred fifty-nine thousand, six hundred eighty".