448008 has 32 divisors (see below), whose sum is σ = 1222560. Its totient is φ = 135680.

The previous prime is 448003. The next prime is 448013. The reversal of 448008 is 800844.

It is an interprime number because it is at equal distance from previous prime (448003) and next prime (448013).

It is a super-2 number, since 2×448008² = 401422336128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (448003) by changing a digit.

448008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585 + ... + 1112.

It is an arithmetic number, because the mean of its divisors is an integer number (38205).

2⁴⁴⁸⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

448008 is an abundant number, since it is smaller than the sum of its proper divisors (774552).

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

448008 is a wasteful number, since it uses less digits than its factorization.

448008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 448008 is about 669.3339973436. Note that the first 3 decimals coincide. The cubic root of 448008 is about 76.5177027680.

Subtracting 448008 from its reverse (800844), we obtain a square (352836 = 594²).

The spelling of 448008 in words is "four hundred forty-eight thousand, eight".