390438 has 24 divisors (see below), whose sum is σ = 858000. Its totient is φ = 128304.

The previous prime is 390437. The next prime is 390449. The reversal of 390438 is 834093.

390438 = 107² + 108² + ... + 133².

390438 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1863 + ... + 2061.

It is an arithmetic number, because the mean of its divisors is an integer number (35750).

2³⁹⁰⁴³⁸ is an apocalyptic number.

390438 is an abundant number, since it is smaller than the sum of its proper divisors (467562).

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

390438 is a wasteful number, since it uses less digits than its factorization.

390438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 390438 is about 624.8503820916. The cubic root of 390438 is about 73.0887767120.

It can be divided in two parts, 390 and 438, that multiplied together give a triangular number (170820 = T₅₈₄).

The spelling of 390438 in words is "three hundred ninety thousand, four hundred thirty-eight".