452079895680 has 2880 divisors, whose sum is σ = 2171052833400. Its totient is φ = 88958435328.

The previous prime is 452079895669. The next prime is 452079895681. The reversal of 452079895680 is 86598970254.

452079895680 is a `hidden beast` number, since 45 + 20 + 7 + 9 + 8 + 9 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 411640294464 + 40439601216 = 641592^2 + 201096^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (452079895681) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 15588961906 + ... + 15588961934.

Almost surely, 2^452079895680 is an apocalyptic number.

452079895680 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 452079895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085526416700).

452079895680 is an abundant number, since it is smaller than the sum of its proper divisors (1718972937720).

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

452079895680 is a wasteful number, since it uses less digits than its factorization.

452079895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 452079895680 in words is "four hundred fifty-two billion, seventy-nine million, eight hundred ninety-five thousand, six hundred eighty".