445200 has 120 divisors (see below), whose sum is σ = 1660608. Its totient is φ = 99840.

The previous prime is 445199. The next prime is 445229. The reversal of 445200 is 2544.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 445200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8374 + ... + 8426.

2⁴⁴⁵²⁰⁰ is an apocalyptic number.

445200 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 445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830304).

445200 is an abundant number, since it is smaller than the sum of its proper divisors (1215408).

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

445200 is a wasteful number, since it uses less digits than its factorization.

445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 445200 is about 667.2330927045. The cubic root of 445200 is about 76.3575031149.

Adding to 445200 its reverse (2544), we get a palindrome (447744).

The spelling of 445200 in words is "four hundred forty-five thousand, two hundred".