390448 has 20 divisors (see below), whose sum is σ = 790128. Its totient is φ = 186560.

The previous prime is 390437. The next prime is 390449. The reversal of 390448 is 844093.

It is not an unprimeable number, because it can be changed into a prime (390449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163 + ... + 898.

2³⁹⁰⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

390448 is an abundant number, since it is smaller than the sum of its proper divisors (399680).

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

390448 is a wasteful number, since it uses less digits than its factorization.

390448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 390448 is about 624.8583839559. The cubic root of 390448 is about 73.0894006963.

It can be divided in two parts, 390 and 448, that added together give a palindrome (838).

The spelling of 390448 in words is "three hundred ninety thousand, four hundred forty-eight".