449280 has 144 divisors (see below), whose sum is σ = 1716960. Its totient is φ = 110592.

The previous prime is 449269. The next prime is 449287. The reversal of 449280 is 82944.

449280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 449280.

It is not an unprimeable number, because it can be changed into a prime (449287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34554 + ... + 34566.

2⁴⁴⁹²⁸⁰ is an apocalyptic number.

449280 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 449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858480).

449280 is an abundant number, since it is smaller than the sum of its proper divisors (1267680).

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

449280 is a wasteful number, since it uses less digits than its factorization.

449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 449280 is about 670.2835221009. The cubic root of 449280 is about 76.5900515863.

Adding to 449280 its product of nonzero digits (2304), we get a square (451584 = 672²).

It can be divided in two parts, 449 and 280, that added together give a 6-th power (729 = 3⁶).

The spelling of 449280 in words is "four hundred forty-nine thousand, two hundred eighty".