452705760 has 240 divisors, whose sum is σ = 1721212416. Its totient is φ = 111393792.

The previous prime is 452705731. The next prime is 452705783. The reversal of 452705760 is 67507254.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167137 + ... + 169823.

Almost surely, 2^452705760 is an apocalyptic number.

452705760 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 452705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860606208).

452705760 is an abundant number, since it is smaller than the sum of its proper divisors (1268506656).

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

452705760 is a wasteful number, since it uses less digits than its factorization.

452705760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 452705760 is about 21276.8832303982. The cubic root of 452705760 is about 767.8422527572.

The spelling of 452705760 in words is "four hundred fifty-two million, seven hundred five thousand, seven hundred sixty".