449612800 has 264 divisors, whose sum is σ = 1378793696. Its totient is φ = 141557760.

The previous prime is 449612741. The next prime is 449612803. The reversal of 449612800 is 8216944.

It is not an unprimeable number, because it can be changed into a prime (449612803) 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, 2329504 + ... + 2329696.

Almost surely, 2^449612800 is an apocalyptic number.

449612800 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 449612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689396848).

449612800 is an abundant number, since it is smaller than the sum of its proper divisors (929180896).

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

449612800 is a wasteful number, since it uses less digits than its factorization.

449612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 449612800 is about 21204.0750800406. The cubic root of 449612800 is about 766.0895804267.

The spelling of 449612800 in words is "four hundred forty-nine million, six hundred twelve thousand, eight hundred".