445355600 has 120 divisors (see below), whose sum is σ = 1104304320. Its totient is φ = 172533760.

The previous prime is 445355551. The next prime is 445355621. The reversal of 445355600 is 6553544.

It is a super-2 number, since 2×445355600² = 396683220902720000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2666717 + ... + 2666883.

It is an arithmetic number, because the mean of its divisors is an integer number (9202536).

Almost surely, 2^445355600 is an apocalyptic number.

445355600 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 445355600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552152160).

445355600 is an abundant number, since it is smaller than the sum of its proper divisors (658948720).

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

445355600 is a wasteful number, since it uses less digits than its factorization.

445355600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 445355600 is about 21103.4499549244. The cubic root of 445355600 is about 763.6639787650.

The spelling of 445355600 in words is "four hundred forty-five million, three hundred fifty-five thousand, six hundred".