393916420 has 12 divisors (see below), whose sum is σ = 827224524. Its totient is φ = 157566560.

The previous prime is 393916381. The next prime is 393916429. The reversal of 393916420 is 24619393.

It can be written as a sum of positive squares in 2 ways, for example, as 160376896 + 233539524 = 12664^2 + 15282^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 393916420.

It is not an unprimeable number, because it can be changed into a prime (393916429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9847891 + ... + 9847930.

It is an arithmetic number, because the mean of its divisors is an integer number (68935377).

Almost surely, 2^393916420 is an apocalyptic number.

It is an amenable number.

393916420 is an abundant number, since it is smaller than the sum of its proper divisors (433308104).

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

393916420 is a wasteful number, since it uses less digits than its factorization.

393916420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19695830 (or 19695828 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 393916420 is about 19847.3277798297. The cubic root of 393916420 is about 733.0518511067.

The spelling of 393916420 in words is "three hundred ninety-three million, nine hundred sixteen thousand, four hundred twenty".