447720 has 128 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 92160.

The previous prime is 447703. The next prime is 447743. The reversal of 447720 is 27744.

447720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 4⁸ + 4⁹ + 7³ + 7⁶ + 2¹¹ + 0 .

It is a cake number, because a cake can be divided into 447720 parts by 139 planar cuts.

It is an unprimeable number.

447720 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 31 ways as a sum of consecutive naturals, for example, 10900 + ... + 10940.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2⁴⁴⁷⁷²⁰ is an apocalyptic number.

447720 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 447720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

447720 is an abundant number, since it is smaller than the sum of its proper divisors (1245720).

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

447720 is a wasteful number, since it uses less digits than its factorization.

447720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 447720 is about 669.1188235284. The cubic root of 447720 is about 76.5013028955.

Adding to 447720 its sum of digits (24), we get a palindrome (447744).

The spelling of 447720 in words is "four hundred forty-seven thousand, seven hundred twenty", and thus it is an iban number.