445680468 has 144 divisors (see below), whose sum is σ = 1228543680. Its totient is φ = 141087744.

The previous prime is 445680467. The next prime is 445680479. The reversal of 445680468 is 864086544.

445680468 is a `hidden beast` number, since 44 + 568 + 0 + 46 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445680467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2734155 + ... + 2734317.

Almost surely, 2^445680468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445680468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614271840).

445680468 is an abundant number, since it is smaller than the sum of its proper divisors (782863212).

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

445680468 is a wasteful number, since it uses less digits than its factorization.

445680468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 445680468 is about 21111.1455871064. The cubic root of 445680468 is about 763.8496204486.

The spelling of 445680468 in words is "four hundred forty-five million, six hundred eighty thousand, four hundred sixty-eight".