447840 has 72 divisors (see below), whose sum is σ = 1533168. Its totient is φ = 119040.

The previous prime is 447829. The next prime is 447841. The reversal of 447840 is 48744.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447841) 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, 1285 + ... + 1595.

It is an arithmetic number, because the mean of its divisors is an integer number (21294).

2⁴⁴⁷⁸⁴⁰ is an apocalyptic number.

447840 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 447840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766584).

447840 is an abundant number, since it is smaller than the sum of its proper divisors (1085328).

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

447840 is a wasteful number, since it uses less digits than its factorization.

447840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 447840 is about 669.2084876927. The cubic root of 447840 is about 76.5081370301.

The spelling of 447840 in words is "four hundred forty-seven thousand, eight hundred forty".