386058240 has 288 divisors, whose sum is σ = 1379851200. Its totient is φ = 99778560.

The previous prime is 386058229. The next prime is 386058241. The reversal of 386058240 is 42850683.

386058240 is a `hidden beast` number, since 3 + 8 + 605 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 386058195 and 386058204.

It is not an unprimeable number, because it can be changed into a prime (386058241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5437405 + ... + 5437475.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2^386058240 is an apocalyptic number.

386058240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689925600).

386058240 is an abundant number, since it is smaller than the sum of its proper divisors (993792960).

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

386058240 is a wasteful number, since it uses less digits than its factorization.

386058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 386058240 is about 19648.3648174600. The cubic root of 386058240 is about 728.1445593056.

The spelling of 386058240 in words is "three hundred eighty-six million, fifty-eight thousand, two hundred forty".