449209800 has 384 divisors, whose sum is σ = 1708224000. Its totient is φ = 109175040.

The previous prime is 449209771. The next prime is 449209811. The reversal of 449209800 is 8902944.

It is a happy number.

449209800 is a `hidden beast` number, since 449 + 209 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5686161 + ... + 5686239.

It is an arithmetic number, because the mean of its divisors is an integer number (4448500).

Almost surely, 2^449209800 is an apocalyptic number.

449209800 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 449209800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854112000).

449209800 is an abundant number, since it is smaller than the sum of its proper divisors (1259014200).

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

449209800 is a wasteful number, since it uses less digits than its factorization.

449209800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 449209800 is about 21194.5700593336. The cubic root of 449209800 is about 765.8606231335.

The spelling of 449209800 in words is "four hundred forty-nine million, two hundred nine thousand, eight hundred".