449199999408 has 480 divisors, whose sum is σ = 1309603680000. Its totient is φ = 132444813312.

The previous prime is 449199999373. The next prime is 449199999419. The reversal of 449199999408 is 804999991944.

It is a self number, because there is not a number n which added to its sum of digits gives 449199999408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3231654603 + ... + 3231654741.

It is an arithmetic number, because the mean of its divisors is an integer number (2728341000).

Almost surely, 2^449199999408 is an apocalyptic number.

449199999408 is a gapful number since it is divisible by the number (48) 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 449199999408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654801840000).

449199999408 is an abundant number, since it is smaller than the sum of its proper divisors (860403680592).

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

449199999408 is a wasteful number, since it uses less digits than its factorization.

449199999408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 75.

The spelling of 449199999408 in words is "four hundred forty-nine billion, one hundred ninety-nine million, nine hundred ninety-nine thousand, four hundred eight".