449632960 has 112 divisors (see below), whose sum is σ = 1231513920. Its totient is φ = 153169920.

The previous prime is 449632943. The next prime is 449632961. The reversal of 449632960 is 69236944.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (449632961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404886 + ... + 405994.

It is an arithmetic number, because the mean of its divisors is an integer number (10995660).

Almost surely, 2^449632960 is an apocalyptic number.

449632960 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 449632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615756960).

449632960 is an abundant number, since it is smaller than the sum of its proper divisors (781880960).

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

449632960 is a wasteful number, since it uses less digits than its factorization.

449632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The square root of 449632960 is about 21204.5504550321. The cubic root of 449632960 is about 766.1010303789.

The spelling of 449632960 in words is "four hundred forty-nine million, six hundred thirty-two thousand, nine hundred sixty".