449760 has 48 divisors (see below), whose sum is σ = 1418256. Its totient is φ = 119808.

The previous prime is 449759. The next prime is 449767. The reversal of 449760 is 67944.

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 (30).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 449760.

It is not an unprimeable number, because it can be changed into a prime (449767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 948.

It is an arithmetic number, because the mean of its divisors is an integer number (29547).

2⁴⁴⁹⁷⁶⁰ is an apocalyptic number.

449760 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 449760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709128).

449760 is an abundant number, since it is smaller than the sum of its proper divisors (968496).

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

449760 is a wasteful number, since it uses less digits than its factorization.

449760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 449760 is about 670.6414839540. The cubic root of 449760 is about 76.6173175379.

The spelling of 449760 in words is "four hundred forty-nine thousand, seven hundred sixty".