447120 has 120 divisors (see below), whose sum is σ = 1624896. Its totient is φ = 114048.

The previous prime is 447119. The next prime is 447133. The reversal of 447120 is 21744.

It is a happy number.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 447093 and 447102.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 447120.

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, 19429 + ... + 19451.

2⁴⁴⁷¹²⁰ is an apocalyptic number.

447120 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 447120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812448).

447120 is an abundant number, since it is smaller than the sum of its proper divisors (1177776).

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

447120 is a wasteful number, since it uses less digits than its factorization.

447120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 447120 is about 668.6703223562. The cubic root of 447120 is about 76.4671138925.

Adding to 447120 its reverse (21744), we get a palindrome (468864).

The spelling of 447120 in words is "four hundred forty-seven thousand, one hundred twenty", and thus it is an iban number.