388300 has 36 divisors (see below), whose sum is σ = 921816. Its totient is φ = 140800.

The previous prime is 388277. The next prime is 388301. The reversal of 388300 is 3883.

388300 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (388301) 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, 924 + ... + 1276.

It is an arithmetic number, because the mean of its divisors is an integer number (25606).

2³⁸⁸³⁰⁰ 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 388300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460908).

388300 is an abundant number, since it is smaller than the sum of its proper divisors (533516).

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

388300 is a wasteful number, since it uses less digits than its factorization.

388300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 388300 is about 623.1372240526. The cubic root of 388300 is about 72.9551234782.

Multiplying 388300 by its reverse (3883), we get a square (1507768900 = 38830²).

388300 divided by its reverse (3883) gives a square (100 = 10²).

It can be divided in two parts, 38 and 8300, that added together give a palindrome (8338).

The spelling of 388300 in words is "three hundred eighty-eight thousand, three hundred".