449281200 has 120 divisors (see below), whose sum is σ = 1472836288. Its totient is φ = 117008640.

The previous prime is 449281181. The next prime is 449281207. The reversal of 449281200 is 2182944.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (449281207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47247 + ... + 55953.

Almost surely, 2^449281200 is an apocalyptic number.

449281200 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 449281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736418144).

449281200 is an abundant number, since it is smaller than the sum of its proper divisors (1023555088).

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

449281200 is a wasteful number, since it uses less digits than its factorization.

449281200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8771 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 449281200 is about 21196.2543860938. The cubic root of 449281200 is about 765.9011977541.

The spelling of 449281200 in words is "four hundred forty-nine million, two hundred eighty-one thousand, two hundred".