449906976 has 72 divisors (see below), whose sum is σ = 1314033084. Its totient is φ = 145912320.

The previous prime is 449906959. The next prime is 449906993. The reversal of 449906976 is 679609944.

It is an interprime number because it is at equal distance from previous prime (449906959) and next prime (449906993).

It can be written as a sum of positive squares in 2 ways, for example, as 326163600 + 123743376 = 18060^2 + 11124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10455 + ... + 31766.

Almost surely, 2^449906976 is an apocalyptic number.

It is an amenable number.

449906976 is an abundant number, since it is smaller than the sum of its proper divisors (864126108).

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

449906976 is a wasteful number, since it uses less digits than its factorization.

449906976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42274 (or 42263 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 449906976 is about 21211.0107255642. The cubic root of 449906976 is about 766.2566249260.

The spelling of 449906976 in words is "four hundred forty-nine million, nine hundred six thousand, nine hundred seventy-six".