452386080 has 384 divisors, whose sum is σ = 1720051200. Its totient is φ = 110702592.

The previous prime is 452386073. The next prime is 452386097. The reversal of 452386080 is 80683254.

452386080 is a `hidden beast` number, since 45 + 2 + 3 + 8 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2881362 + ... + 2881518.

It is an arithmetic number, because the mean of its divisors is an integer number (4479300).

Almost surely, 2^452386080 is an apocalyptic number.

452386080 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 452386080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860025600).

452386080 is an abundant number, since it is smaller than the sum of its proper divisors (1267665120).

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

452386080 is a wasteful number, since it uses less digits than its factorization.

452386080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 452386080 is about 21269.3695252116. The cubic root of 452386080 is about 767.6614718953.

The spelling of 452386080 in words is "four hundred fifty-two million, three hundred eighty-six thousand, eighty".