449258900 has 72 divisors (see below), whose sum is σ = 1012601856. Its totient is φ = 172886400.

The previous prime is 449258861. The next prime is 449258939. The reversal of 449258900 is 9852944.

It is an interprime number because it is at equal distance from previous prime (449258861) and next prime (449258939).

It is a congruent number.

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, 285917 + ... + 287483.

Almost surely, 2^449258900 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 449258900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506300928).

449258900 is an abundant number, since it is smaller than the sum of its proper divisors (563342956).

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

449258900 is a wasteful number, since it uses less digits than its factorization.

449258900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 449258900 is about 21195.7283432299. The cubic root of 449258900 is about 765.8885257502. Note that the first 3 decimals are identical.

The spelling of 449258900 in words is "four hundred forty-nine million, two hundred fifty-eight thousand, nine hundred".