449730 has 48 divisors (see below), whose sum is σ = 1235520. Its totient is φ = 113184.

The previous prime is 449699. The next prime is 449741. The reversal of 449730 is 37944.

449730 = 3² + 4² + ... + 110².

It is a junction number, because it is equal to n+sod(n) for n = 449694 and 449703.

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 449730.

It is an unprimeable number.

449730 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 23 ways as a sum of consecutive naturals, for example, 1579 + ... + 1841.

It is an arithmetic number, because the mean of its divisors is an integer number (25740).

2⁴⁴⁹⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617760).

449730 is an abundant number, since it is smaller than the sum of its proper divisors (785790).

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

449730 is a wasteful number, since it uses less digits than its factorization.

449730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 449730 is about 670.6191169360. The cubic root of 449730 is about 76.6156139844.

The spelling of 449730 in words is "four hundred forty-nine thousand, seven hundred thirty".