386976 has 48 divisors (see below), whose sum is σ = 1058400. Its totient is φ = 123648.

The previous prime is 386963. The next prime is 386977. The reversal of 386976 is 679683.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (386977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2715 + ... + 2853.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2³⁸⁶⁹⁷⁶ 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 386976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529200).

386976 is an abundant number, since it is smaller than the sum of its proper divisors (671424).

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

386976 is a wasteful number, since it uses less digits than its factorization.

386976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 386976 is about 622.0739505879. The cubic root of 386976 is about 72.8721098487.

The spelling of 386976 in words is "three hundred eighty-six thousand, nine hundred seventy-six".