449805888 has 126 divisors (see below), whose sum is σ = 1499877366. Its totient is φ = 128507904.

The previous prime is 449805883. The next prime is 449805893. The reversal of 449805888 is 888508944.

It is an interprime number because it is at equal distance from previous prime (449805883) and next prime (449805893).

It can be written as a sum of positive squares in only one way, i.e., 413227584 + 36578304 = 20328^2 + 6048^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is not an unprimeable number, because it can be changed into a prime (449805883) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20256 + ... + 36192.

Almost surely, 2^449805888 is an apocalyptic number.

449805888 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 449805888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749938683).

449805888 is an abundant number, since it is smaller than the sum of its proper divisors (1050071478).

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

449805888 is a wasteful number, since it uses less digits than its factorization.

449805888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15969 (or 15949 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 449805888 is about 21208.6276783766. The cubic root of 449805888 is about 766.1992314677.

The spelling of 449805888 in words is "four hundred forty-nine million, eight hundred five thousand, eight hundred eighty-eight".