445945680 has 90 divisors (see below), whose sum is σ = 1499539626. Its totient is φ = 118767744.

The previous prime is 445945679. The next prime is 445945681. The reversal of 445945680 is 86549544.

445945680 is a `hidden beast` number, since 4 + 4 + 594 + 56 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (445945679) and next prime (445945681).

It can be written as a sum of positive squares in only one way, i.e., 356756544 + 89189136 = 18888^2 + 9444^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445945681) 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 17 ways as a sum of consecutive naturals, for example, 566247 + ... + 567033.

Almost surely, 2^445945680 is an apocalyptic number.

445945680 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 445945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749769813).

445945680 is an abundant number, since it is smaller than the sum of its proper divisors (1053593946).

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

445945680 is an equidigital number, since it uses as much as digits as its factorization.

445945680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 445945680 is about 21117.4259795080. The cubic root of 445945680 is about 764.0011055967.

Multiplying 445945680 by its sum of digits (45), we get a square (20067555600 = 141660²).

445945680 divided by its sum of digits (45) gives a square (9909904 = 3148²).

The spelling of 445945680 in words is "four hundred forty-five million, nine hundred forty-five thousand, six hundred eighty".