445582680 has 256 divisors, whose sum is σ = 1524096000. Its totient is φ = 103606272.

The previous prime is 445582663. The next prime is 445582693. The reversal of 445582680 is 86285544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1520614 + ... + 1520906.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2^445582680 is an apocalyptic number.

445582680 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 445582680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048000).

445582680 is an abundant number, since it is smaller than the sum of its proper divisors (1078513320).

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

445582680 is a wasteful number, since it uses less digits than its factorization.

445582680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 445582680 is about 21108.8294322542. The cubic root of 445582680 is about 763.7937502338.

The spelling of 445582680 in words is "four hundred forty-five million, five hundred eighty-two thousand, six hundred eighty".