393140 has 24 divisors (see below), whose sum is σ = 901152. Its totient is φ = 142880.

The previous prime is 393137. The next prime is 393143. The reversal of 393140 is 41393.

393140 = T₃₅₉ + T₃₆₀ + ... + T₃₆₄.

It is an interprime number because it is at equal distance from previous prime (393137) and next prime (393143).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 674 + ... + 1113.

It is an arithmetic number, because the mean of its divisors is an integer number (37548).

2³⁹³¹⁴⁰ is an apocalyptic number.

It is an amenable number.

393140 is an abundant number, since it is smaller than the sum of its proper divisors (508012).

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

393140 is a wasteful number, since it uses less digits than its factorization.

393140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 393140 is about 627.0087718685. The cubic root of 393140 is about 73.2569912604.

The spelling of 393140 in words is "three hundred ninety-three thousand, one hundred forty".