393380 has 48 divisors (see below), whose sum is σ = 952560. Its totient is φ = 135168.

The previous prime is 393377. The next prime is 393383. The reversal of 393380 is 83393.

It is an interprime number because it is at equal distance from previous prime (393377) and next prime (393383).

It can be written as a sum of positive squares in 8 ways, for example, as 30976 + 362404 = 176^2 + 602^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393380.

It is not an unprimeable number, because it can be changed into a prime (393383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4376 + ... + 4464.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2³⁹³³⁸⁰ 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 393380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280).

393380 is an abundant number, since it is smaller than the sum of its proper divisors (559180).

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

393380 is a wasteful number, since it uses less digits than its factorization.

393380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 393380 is about 627.2001275510. The cubic root of 393380 is about 73.2718952822.

The spelling of 393380 in words is "three hundred ninety-three thousand, three hundred eighty".