449652 has 48 divisors (see below), whose sum is σ = 1233792. Its totient is φ = 124800.

The previous prime is 449629. The next prime is 449653. The reversal of 449652 is 256944.

It is a super-2 number, since 2×449652² = 404373842208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4402 + ... + 4502.

It is an arithmetic number, because the mean of its divisors is an integer number (25704).

2⁴⁴⁹⁶⁵² is an apocalyptic number.

449652 is a gapful number since it is divisible by the number (42) 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 449652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896).

449652 is an abundant number, since it is smaller than the sum of its proper divisors (784140).

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

449652 is a wasteful number, since it uses less digits than its factorization.

449652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 449652 is about 670.5609591976. The cubic root of 449652 is about 76.6111843908.

The spelling of 449652 in words is "four hundred forty-nine thousand, six hundred fifty-two".