449461200 has 240 divisors, whose sum is σ = 1514474496. Its totient is φ = 113817600.

The previous prime is 449461189. The next prime is 449461247. The reversal of 449461200 is 2164944.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2353105 + ... + 2353295.

Almost surely, 2^449461200 is an apocalyptic number.

449461200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 21200×21201.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757237248).

449461200 is an abundant number, since it is smaller than the sum of its proper divisors (1065013296).

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

449461200 is a wasteful number, since it uses less digits than its factorization.

449461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 449461200 is about 21200.4999941039. The cubic root of 449461200 is about 766.0034676381.

The spelling of 449461200 in words is "four hundred forty-nine million, four hundred sixty-one thousand, two hundred".