449114400 has 648 divisors, whose sum is σ = 1968155280. Its totient is φ = 95800320.

The previous prime is 449114383. The next prime is 449114429. The reversal of 449114400 is 4411944.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6703167 + ... + 6703233.

Almost surely, 2^449114400 is an apocalyptic number.

449114400 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 449114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984077640).

449114400 is an abundant number, since it is smaller than the sum of its proper divisors (1519040880).

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

449114400 is a wasteful number, since it uses less digits than its factorization.

449114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 449114400 is about 21192.3193633920. The cubic root of 449114400 is about 765.8064032743.

The spelling of 449114400 in words is "four hundred forty-nine million, one hundred fourteen thousand, four hundred".