449056800 has 216 divisors, whose sum is σ = 1618396416. Its totient is φ = 117112320.

The previous prime is 449056787. The next prime is 449056801. The reversal of 449056800 is 8650944.

449056800 is a `hidden beast` number, since 4 + 4 + 90 + 568 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449056801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337737 + ... + 339063.

It is an arithmetic number, because the mean of its divisors is an integer number (7492576).

Almost surely, 2^449056800 is an apocalyptic number.

449056800 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 449056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809198208).

449056800 is an abundant number, since it is smaller than the sum of its proper divisors (1169339616).

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

449056800 is a wasteful number, since it uses less digits than its factorization.

449056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 449056800 is about 21190.9603368984. The cubic root of 449056800 is about 765.7736630381.

The spelling of 449056800 in words is "four hundred forty-nine million, fifty-six thousand, eight hundred".