388740 has 96 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 86400.

The previous prime is 388727. The next prime is 388757. The reversal of 388740 is 47883.

It is a super-2 number, since 2×388740² = 302237575200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 388698 and 388707.

It is a congruent number.

It is an unprimeable number.

388740 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12525 + ... + 12555.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2³⁸⁸⁷⁴⁰ is an apocalyptic number.

388740 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 388740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

388740 is an abundant number, since it is smaller than the sum of its proper divisors (901500).

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

388740 is a wasteful number, since it uses less digits than its factorization.

388740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 388740 is about 623.4901763460. The cubic root of 388740 is about 72.9826693081.

It can be divided in two parts, 388 and 740, that added together give a triangular number (1128 = T₄₇).

The spelling of 388740 in words is "three hundred eighty-eight thousand, seven hundred forty".