393390 has 64 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 99360.

The previous prime is 393383. The next prime is 393401. The reversal of 393390 is 93393.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8347 + ... + 8393.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2³⁹³³⁹⁰ is an apocalyptic number.

393390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 393390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

393390 is an abundant number, since it is smaller than the sum of its proper divisors (712530).

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

393390 is a wasteful number, since it uses less digits than its factorization.

393390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The square root of 393390 is about 627.2080994375. The cubic root of 393390 is about 73.2725161516.

The spelling of 393390 in words is "three hundred ninety-three thousand, three hundred ninety".