388948 has 24 divisors (see below), whose sum is σ = 806400. Its totient is φ = 160608.

The previous prime is 388937. The next prime is 388961. The reversal of 388948 is 849883.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 388948.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573 + ... + 1051.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2³⁸⁸⁹⁴⁸ 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 388948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

388948 is an abundant number, since it is smaller than the sum of its proper divisors (417452).

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

388948 is a wasteful number, since it uses less digits than its factorization.

388948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 388948 is about 623.6569569884. The cubic root of 388948 is about 72.9956837380.

The spelling of 388948 in words is "three hundred eighty-eight thousand, nine hundred forty-eight".