449376 has 48 divisors (see below), whose sum is σ = 1225728. Its totient is φ = 144000.

The previous prime is 449363. The next prime is 449381. The reversal of 449376 is 673944.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2901 + ... + 3051.

It is an arithmetic number, because the mean of its divisors is an integer number (25536).

2⁴⁴⁹³⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612864).

449376 is an abundant number, since it is smaller than the sum of its proper divisors (776352).

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

449376 is a wasteful number, since it uses less digits than its factorization.

449376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 449376 is about 670.3551297633. The cubic root of 449376 is about 76.5955063297.

The spelling of 449376 in words is "four hundred forty-nine thousand, three hundred seventy-six".