388746 has 32 divisors (see below), whose sum is σ = 904320. Its totient is φ = 123552.

The previous prime is 388727. The next prime is 388757. The reversal of 388746 is 647883.

It is a super-2 number, since 2×388746² = 302246905032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 388746.

It is a congruent number.

It is an unprimeable number.

388746 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1086 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (28260).

2³⁸⁸⁷⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452160).

388746 is an abundant number, since it is smaller than the sum of its proper divisors (515574).

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

388746 is a wasteful number, since it uses less digits than its factorization.

388746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 388746 is about 623.4949879510. The cubic root of 388746 is about 72.9830447893.

The spelling of 388746 in words is "three hundred eighty-eight thousand, seven hundred forty-six".