449412960 has 96 divisors (see below), whose sum is σ = 1435698432. Its totient is φ = 118146560.

The previous prime is 449412949. The next prime is 449412967. The reversal of 449412960 is 69214944.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449412967) 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, 27487 + ... + 40673.

It is an arithmetic number, because the mean of its divisors is an integer number (14955192).

Almost surely, 2^449412960 is an apocalyptic number.

449412960 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 449412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717849216).

449412960 is an abundant number, since it is smaller than the sum of its proper divisors (986285472).

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

449412960 is a wasteful number, since it uses less digits than its factorization.

449412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13276 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 449412960 is about 21199.3622545585. The cubic root of 449412960 is about 765.9760619878.

The spelling of 449412960 in words is "four hundred forty-nine million, four hundred twelve thousand, nine hundred sixty".