445312 has 48 divisors (see below), whose sum is σ = 1046520. Its totient is φ = 188160.

The previous prime is 445307. The next prime is 445321. The reversal of 445312 is 213544.

Its product of digits (480) is a multiple of the sum of its prime divisors (80).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 445312.

It is a congruent number.

It is an unprimeable number.

445312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6237 + ... + 6307.

2⁴⁴⁵³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523260).

445312 is an abundant number, since it is smaller than the sum of its proper divisors (601208).

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

445312 is an equidigital number, since it uses as much as digits as its factorization.

445312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The square root of 445312 is about 667.3170161175. The cubic root of 445312 is about 76.3639057230.

Adding to 445312 its reverse (213544), we get a palindrome (658856).

It can be divided in two parts, 4453 and 12, that added together give a triangular number (4465 = T₉₄).

The spelling of 445312 in words is "four hundred forty-five thousand, three hundred twelve".