449006976 has 320 divisors, whose sum is σ = 1516584960. Its totient is φ = 130636800.

The previous prime is 449006959. The next prime is 449006983. The reversal of 449006976 is 679600944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3535425 + ... + 3535551.

It is an arithmetic number, because the mean of its divisors is an integer number (4739328).

Almost surely, 2^449006976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758292480).

449006976 is an abundant number, since it is smaller than the sum of its proper divisors (1067577984).

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

449006976 is a wasteful number, since it uses less digits than its factorization.

449006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 449006976 is about 21189.7847086751. The cubic root of 449006976 is about 765.7453404753.

The spelling of 449006976 in words is "four hundred forty-nine million, six thousand, nine hundred seventy-six".