390048 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 121856.

The previous prime is 390043. The next prime is 390067. The reversal of 390048 is 840093.

It is a tau number, because it is divible by the number of its divisors (48).

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 (390043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1513 + ... + 1751.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³⁹⁰⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

390048 is an abundant number, since it is smaller than the sum of its proper divisors (698592).

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

390048 is a wasteful number, since it uses less digits than its factorization.

390048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 390048 is about 624.5382294143. The cubic root of 390048 is about 73.0644330099.

The spelling of 390048 in words is "three hundred ninety thousand, forty-eight".