448609408 has 32 divisors (see below), whose sum is σ = 962464860. Its totient is φ = 207049728.

The previous prime is 448609387. The next prime is 448609459. The reversal of 448609408 is 804906844.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 419102784 + 29506624 = 20472^2 + 5432^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×448609408² = 402500801892220928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133135 + ... + 136462.

Almost surely, 2^448609408 is an apocalyptic number.

It is an amenable number.

448609408 is an abundant number, since it is smaller than the sum of its proper divisors (513855452).

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

448609408 is a wasteful number, since it uses less digits than its factorization.

448609408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269624 (or 269612 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 448609408 is about 21180.4015070536. The cubic root of 448609408 is about 765.5192669716.

The spelling of 448609408 in words is "four hundred forty-eight million, six hundred nine thousand, four hundred eight".