388476 has 60 divisors (see below), whose sum is σ = 1118040. Its totient is φ = 116640.

The previous prime is 388471. The next prime is 388477. The reversal of 388476 is 674883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 388476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3510 + ... + 3618.

It is an arithmetic number, because the mean of its divisors is an integer number (18634).

2³⁸⁸⁴⁷⁶ is an apocalyptic number.

388476 is a gapful number since it is divisible by the number (36) 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 388476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559020).

388476 is an abundant number, since it is smaller than the sum of its proper divisors (729564).

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

388476 is a wasteful number, since it uses less digits than its factorization.

388476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

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

The square root of 388476 is about 623.2784289545. The cubic root of 388476 is about 72.9661443060.

The spelling of 388476 in words is "three hundred eighty-eight thousand, four hundred seventy-six".