388752 has 80 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 101376.

The previous prime is 388727. The next prime is 388757. The reversal of 388752 is 257883.

It is a super-2 number, since 2×388752² = 302256235008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (13440) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4324 + ... + 4412.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2³⁸⁸⁷⁵² is an apocalyptic number.

It is a pronic number, being equal to 623×624.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

388752 is an abundant number, since it is smaller than the sum of its proper divisors (861168).

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

388752 is a wasteful number, since it uses less digits than its factorization.

388752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 388752 is about 623.4997995188. The cubic root of 388752 is about 72.9834202667.

It can be divided in two parts, 3 and 88752, that multiplied together give a square (266256 = 516²).

The spelling of 388752 in words is "three hundred eighty-eight thousand, seven hundred fifty-two".