449908704 has 288 divisors, whose sum is σ = 1580027904. Its totient is φ = 118609920.

The previous prime is 449908691. The next prime is 449908729. The reversal of 449908704 is 407809944.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 449908704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1437252 + ... + 1437564.

It is an arithmetic number, because the mean of its divisors is an integer number (5486208).

Almost surely, 2^449908704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449908704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790013952).

449908704 is an abundant number, since it is smaller than the sum of its proper divisors (1130119200).

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

449908704 is a wasteful number, since it uses less digits than its factorization.

449908704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 449908704 is about 21211.0514590861. The cubic root of 449908704 is about 766.2576059360.

The spelling of 449908704 in words is "four hundred forty-nine million, nine hundred eight thousand, seven hundred four".