445495680 has 512 divisors, whose sum is σ = 1880064000. Its totient is φ = 97542144.

The previous prime is 445495649. The next prime is 445495681. The reversal of 445495680 is 86594544.

445495680 is a `hidden beast` number, since 4 + 45 + 49 + 568 + 0 = 666.

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 (445495681) 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 63 ways as a sum of consecutive naturals, for example, 3507777 + ... + 3507903.

It is an arithmetic number, because the mean of its divisors is an integer number (3672000).

Almost surely, 2^445495680 is an apocalyptic number.

445495680 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 445495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940032000).

445495680 is an abundant number, since it is smaller than the sum of its proper divisors (1434568320).

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

445495680 is a wasteful number, since it uses less digits than its factorization.

445495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

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

The square root of 445495680 is about 21106.7685826135. The cubic root of 445495680 is about 763.7440367654.

The spelling of 445495680 in words is "four hundred forty-five million, four hundred ninety-five thousand, six hundred eighty".