393412144 has 20 divisors (see below), whose sum is σ = 788520960. Its totient is φ = 189922880.

The previous prime is 393412133. The next prime is 393412183. The reversal of 393412144 is 441214393.

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 3 ways as a sum of consecutive naturals, for example, 423472 + ... + 424399.

It is an arithmetic number, because the mean of its divisors is an integer number (39426048).

Almost surely, 2^393412144 is an apocalyptic number.

It is an amenable number.

393412144 is an abundant number, since it is smaller than the sum of its proper divisors (395108816).

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

393412144 is a wasteful number, since it uses less digits than its factorization.

393412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847908 (or 847902 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 393412144 is about 19834.6198350258. The cubic root of 393412144 is about 732.7389096718.

The spelling of 393412144 in words is "three hundred ninety-three million, four hundred twelve thousand, one hundred forty-four".