445825800 has 288 divisors, whose sum is σ = 1754887680. Its totient is φ = 99302400.

The previous prime is 445825781. The next prime is 445825847. The reversal of 445825800 is 8528544.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 516169 + ... + 517031.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^445825800 is an apocalyptic number.

445825800 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 445825800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

445825800 is an abundant number, since it is smaller than the sum of its proper divisors (1309061880).

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

445825800 is a wasteful number, since it uses less digits than its factorization.

445825800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 445825800 is about 21114.5873746091. The cubic root of 445825800 is about 763.9326393650.

The spelling of 445825800 in words is "four hundred forty-five million, eight hundred twenty-five thousand, eight hundred".