449400 has 96 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 101760.

The previous prime is 449399. The next prime is 449411. The reversal of 449400 is 4944.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 449400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4147 + ... + 4253.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2⁴⁴⁹⁴⁰⁰ is an apocalyptic number.

449400 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 449400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

449400 is an abundant number, since it is smaller than the sum of its proper divisors (1157640).

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

449400 is a wasteful number, since it uses less digits than its factorization.

449400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 449400 is about 670.3730304838. The cubic root of 449400 is about 76.5968698942.

The spelling of 449400 in words is "four hundred forty-nine thousand, four hundred".