388320 has 48 divisors (see below), whose sum is σ = 1224720. Its totient is φ = 103424.

The previous prime is 388319. The next prime is 388351. The reversal of 388320 is 23883.

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 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, 76 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (25515).

2³⁸⁸³²⁰ is an apocalyptic number.

388320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612360).

388320 is an abundant number, since it is smaller than the sum of its proper divisors (836400).

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

388320 is a wasteful number, since it uses less digits than its factorization.

388320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 388320 is about 623.1532716756. The cubic root of 388320 is about 72.9563760127.

The spelling of 388320 in words is "three hundred eighty-eight thousand, three hundred twenty".