445856400 has 420 divisors, whose sum is σ = 1764626640. Its totient is φ = 107308800.

The previous prime is 445856387. The next prime is 445856417. The reversal of 445856400 is 4658544.

445856400 is a `hidden beast` number, since 4 + 4 + 5 + 8 + 5 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 3207531 + ... + 3207669.

It is an arithmetic number, because the mean of its divisors is an integer number (4201492).

Almost surely, 2^445856400 is an apocalyptic number.

445856400 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 445856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882313320).

445856400 is an abundant number, since it is smaller than the sum of its proper divisors (1318770240).

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

445856400 is a wasteful number, since it uses less digits than its factorization.

445856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 445856400 is about 21115.3119796985. The cubic root of 445856400 is about 763.9501168970.

The spelling of 445856400 in words is "four hundred forty-five million, eight hundred fifty-six thousand, four hundred".