386393424 has 160 divisors (see below), whose sum is σ = 1104691200. Its totient is φ = 115914240.

The previous prime is 386393407. The next prime is 386393429. The reversal of 386393424 is 424393683.

It is a super-2 number, since 2×386393424² = 298599756220887552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386393429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2233402 + ... + 2233574.

It is an arithmetic number, because the mean of its divisors is an integer number (6904320).

Almost surely, 2^386393424 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 386393424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552345600).

386393424 is an abundant number, since it is smaller than the sum of its proper divisors (718297776).

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

386393424 is a wasteful number, since it uses less digits than its factorization.

386393424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 386393424 is about 19656.8925316287. The cubic root of 386393424 is about 728.3552285616.

The spelling of 386393424 in words is "three hundred eighty-six million, three hundred ninety-three thousand, four hundred twenty-four".