445920 has 48 divisors (see below), whose sum is σ = 1406160. Its totient is φ = 118784.

The previous prime is 445891. The next prime is 445931. The reversal of 445920 is 29544.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

445920 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 7 ways as a sum of consecutive naturals, for example, 16 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2⁴⁴⁵⁹²⁰ is an apocalyptic number.

445920 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 445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703080).

445920 is an abundant number, since it is smaller than the sum of its proper divisors (960240).

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

445920 is a wasteful number, since it uses less digits than its factorization.

445920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 445920 is about 667.7724163216. The cubic root of 445920 is about 76.3986440190.

The spelling of 445920 in words is "four hundred forty-five thousand, nine hundred twenty".