386391440 has 80 divisors (see below), whose sum is σ = 932083200. Its totient is φ = 148807680.

The previous prime is 386391427. The next prime is 386391451. The reversal of 386391440 is 44193683.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 386391394 and 386391403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860336 + ... + 860784.

It is an arithmetic number, because the mean of its divisors is an integer number (11651040).

Almost surely, 2^386391440 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 386391440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466041600).

386391440 is an abundant number, since it is smaller than the sum of its proper divisors (545691760).

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

386391440 is a wasteful number, since it uses less digits than its factorization.

386391440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 386391440 is about 19656.8420658050. The cubic root of 386391440 is about 728.3539819400.

The spelling of 386391440 in words is "three hundred eighty-six million, three hundred ninety-one thousand, four hundred forty".