393376 has 24 divisors (see below), whose sum is σ = 816480. Its totient is φ = 186048.

The previous prime is 393373. The next prime is 393377. The reversal of 393376 is 673393.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (393373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 285 + ... + 931.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2³⁹³³⁷⁶ 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 393376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240).

393376 is an abundant number, since it is smaller than the sum of its proper divisors (423104).

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

393376 is a wasteful number, since it uses less digits than its factorization.

393376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its digits is 10206, while the sum is 31.

The square root of 393376 is about 627.1969387680. The cubic root of 393376 is about 73.2716469315.

The spelling of 393376 in words is "three hundred ninety-three thousand, three hundred seventy-six".