449598006 has 192 divisors, whose sum is σ = 1215513600. Its totient is φ = 122316480.

The previous prime is 449598001. The next prime is 449598013. The reversal of 449598006 is 600895944.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449598001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5691075 + ... + 5691153.

It is an arithmetic number, because the mean of its divisors is an integer number (6330800).

Almost surely, 2^449598006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449598006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607756800).

449598006 is an abundant number, since it is smaller than the sum of its proper divisors (765915594).

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

449598006 is a wasteful number, since it uses less digits than its factorization.

449598006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 449598006 is about 21203.7262291325. The cubic root of 449598006 is about 766.0811778979.

The spelling of 449598006 in words is "four hundred forty-nine million, five hundred ninety-eight thousand, six".