448007 has 12 divisors (see below), whose sum is σ = 536256. Its totient is φ = 372960.

The previous prime is 448003. The next prime is 448013. The reversal of 448007 is 700844.

It is not a de Polignac number, because 448007 - 2² = 448003 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448007.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1898 + ... + 2120.

It is an arithmetic number, because the mean of its divisors is an integer number (44688).

2⁴⁴⁸⁰⁰⁷ is an apocalyptic number.

448007 is a deficient number, since it is larger than the sum of its proper divisors (88249).

448007 is a wasteful number, since it uses less digits than its factorization.

448007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 448007 is about 669.3332503320. Note that the first 3 decimals coincide. The cubic root of 448007 is about 76.5176458361.

It can be divided in two parts, 44800 and 7, that multiplied together give a square (313600 = 560²).

The spelling of 448007 in words is "four hundred forty-eight thousand, seven".