449576960 has 152 divisors (see below), whose sum is σ = 1258288800. Its totient is φ = 154140672.

The previous prime is 449576947. The next prime is 449576969. The reversal of 449576960 is 69675944.

It is a junction number, because it is equal to n+sod(n) for n = 449576899 and 449576908.

It is not an unprimeable number, because it can be changed into a prime (449576969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64225277 + ... + 64225283.

Almost surely, 2^449576960 is an apocalyptic number.

449576960 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 449576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629144400).

449576960 is an abundant number, since it is smaller than the sum of its proper divisors (808711840).

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

449576960 is an frugal number, since it uses more digits than its factorization.

449576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The square root of 449576960 is about 21203.2299426290. The cubic root of 449576960 is about 766.0692241112.

Multiplying 449576960 by its product of nonzero digits (1632960), we get a square (734141192601600 = 27095040²).

The spelling of 449576960 in words is "four hundred forty-nine million, five hundred seventy-six thousand, nine hundred sixty".