449880000 has 280 divisors, whose sum is σ = 1561600128. Its totient is φ = 114048000.

The previous prime is 449879971. The next prime is 449880017. The reversal of 449880000 is 88944.

449880000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2759919 + ... + 2760081.

Almost surely, 2^449880000 is an apocalyptic number.

449880000 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 449880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780800064).

449880000 is an abundant number, since it is smaller than the sum of its proper divisors (1111720128).

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

449880000 is a wasteful number, since it uses less digits than its factorization.

449880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 449880000 is about 21210.3748198847. The cubic root of 449880000 is about 766.2413099439.

The spelling of 449880000 in words is "four hundred forty-nine million, eight hundred eighty thousand".