393013940 has 48 divisors (see below), whose sum is σ = 911796480. Its totient is φ = 141098880.

The previous prime is 393013931. The next prime is 393013979. The reversal of 393013940 is 49310393.

It is a junction number, because it is equal to n+sod(n) for n = 393013897 and 393013906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6074 + ... + 28686.

It is an arithmetic number, because the mean of its divisors is an integer number (18995760).

Almost surely, 2^393013940 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 393013940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455898240).

393013940 is an abundant number, since it is smaller than the sum of its proper divisors (518782540).

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

393013940 is a wasteful number, since it uses less digits than its factorization.

393013940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22712 (or 22710 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 393013940 is about 19824.5791884721. The cubic root of 393013940 is about 732.4916049312.

The spelling of 393013940 in words is "three hundred ninety-three million, thirteen thousand, nine hundred forty".