448993008 has 30 divisors (see below), whose sum is σ = 1256557224. Its totient is φ = 149664288.

The previous prime is 448993007. The next prime is 448993033. The reversal of 448993008 is 800399844.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448993007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1558860 + ... + 1559147.

Almost surely, 2^448993008 is an apocalyptic number.

448993008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

448993008 is an abundant number, since it is smaller than the sum of its proper divisors (807564216).

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

448993008 is a wasteful number, since it uses less digits than its factorization.

448993008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118021 (or 3118012 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 448993008 is about 21189.4551133341. The cubic root of 448993008 is about 765.7373999589.

The spelling of 448993008 in words is "four hundred forty-eight million, nine hundred ninety-three thousand, eight".