393900 has 72 divisors (see below), whose sum is σ = 1239504. Its totient is φ = 96000.

The previous prime is 393871. The next prime is 393901. The reversal of 393900 is 9393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3850 + ... + 3950.

2³⁹³⁹⁰⁰ is an apocalyptic number.

393900 is a gapful number since it is divisible by the number (30) 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 393900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619752).

393900 is an abundant number, since it is smaller than the sum of its proper divisors (845604).

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

393900 is a wasteful number, since it uses less digits than its factorization.

393900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 393900 is about 627.6145313805. The cubic root of 393900 is about 73.3041665462.

It can be divided in two parts, 39 and 3900, that multiplied together give a square (152100 = 390²).

The spelling of 393900 in words is "three hundred ninety-three thousand, nine hundred".