393040 has 40 divisors (see below), whose sum is σ = 970920. Its totient is φ = 147968.

The previous prime is 393031. The next prime is 393059. The reversal of 393040 is 40393.

393040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 341056 = 228^2 + 584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 392999 and 393017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23112 + ... + 23128.

It is an arithmetic number, because the mean of its divisors is an integer number (24273).

2³⁹³⁰⁴⁰ 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 393040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485460).

393040 is an abundant number, since it is smaller than the sum of its proper divisors (577880).

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

393040 is an equidigital number, since it uses as much as digits as its factorization.

393040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 393040 is about 626.9290230959. The cubic root of 393040 is about 73.2507794611.

The spelling of 393040 in words is "three hundred ninety-three thousand, forty".