449813760 has 288 divisors, whose sum is σ = 1638862848. Its totient is φ = 104079360.

The previous prime is 449813759. The next prime is 449813801. The reversal of 449813760 is 67318944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971289 + ... + 971751.

It is an arithmetic number, because the mean of its divisors is an integer number (5690496).

Almost surely, 2^449813760 is an apocalyptic number.

449813760 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 449813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819431424).

449813760 is an abundant number, since it is smaller than the sum of its proper divisors (1189049088).

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

449813760 is a wasteful number, since it uses less digits than its factorization.

449813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 449813760 is about 21208.8132624152. The cubic root of 449813760 is about 766.2037011625.

The spelling of 449813760 in words is "four hundred forty-nine million, eight hundred thirteen thousand, seven hundred sixty".