386065440 has 120 divisors (see below), whose sum is σ = 1362535020. Its totient is φ = 102947328.

The previous prime is 386065417. The next prime is 386065441. The reversal of 386065440 is 44560683.

386065440 is a `hidden beast` number, since 3 + 8 + 606 + 5 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 335768976 + 50296464 = 18324^2 + 7092^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 386065395 and 386065404.

It is not an unprimeable number, because it can be changed into a prime (386065441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1935 + ... + 27854.

Almost surely, 2^386065440 is an apocalyptic number.

386065440 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 386065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681267510).

386065440 is an abundant number, since it is smaller than the sum of its proper divisors (976469580).

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

386065440 is a wasteful number, since it uses less digits than its factorization.

386065440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29816 (or 29799 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 386065440 is about 19648.5480379594. The cubic root of 386065440 is about 728.1490859182.

The spelling of 386065440 in words is "three hundred eighty-six million, sixty-five thousand, four hundred forty".