449600 has 42 divisors (see below), whose sum is σ = 1110234. Its totient is φ = 179200.

The previous prime is 449591. The next prime is 449609. The reversal of 449600 is 6944.

It is an interprime number because it is at equal distance from previous prime (449591) and next prime (449609).

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 399424 = 224^2 + 632^2 .

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 449600.

It is not an unprimeable number, because it can be changed into a prime (449609) by changing a digit.

449600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1460 + ... + 1740.

2⁴⁴⁹⁶⁰⁰ is an apocalyptic number.

449600 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 449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555117).

449600 is an abundant number, since it is smaller than the sum of its proper divisors (660634).

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

449600 is a wasteful number, since it uses less digits than its factorization.

449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 449600 is about 670.5221845696. The cubic root of 449600 is about 76.6082310438.

The spelling of 449600 in words is "four hundred forty-nine thousand, six hundred".