445280 has 72 divisors (see below), whose sum is σ = 1206576. Its totient is φ = 154880.

The previous prime is 445279. The next prime is 445283. The reversal of 445280 is 82544.

445280 = T₂₄ + T₂₅ + ... + T₁₃₈.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19349 + ... + 19371.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2⁴⁴⁵²⁸⁰ is an apocalyptic number.

445280 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 445280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288).

445280 is an abundant number, since it is smaller than the sum of its proper divisors (761296).

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

445280 is a wasteful number, since it uses less digits than its factorization.

445280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 445280 is about 667.2930390765. The cubic root of 445280 is about 76.3620765159.

The spelling of 445280 in words is "four hundred forty-five thousand, two hundred eighty".