386855040 has 256 divisors, whose sum is σ = 1449705600. Its totient is φ = 86507520.

The previous prime is 386855011. The next prime is 386855059. The reversal of 386855040 is 40558683.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 386855040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273856 + ... + 275264.

Almost surely, 2^386855040 is an apocalyptic number.

386855040 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 386855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724852800).

386855040 is an abundant number, since it is smaller than the sum of its proper divisors (1062850560).

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

386855040 is a wasteful number, since it uses less digits than its factorization.

386855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 386855040 is about 19668.6308623656. The cubic root of 386855040 is about 728.6451632960.

The spelling of 386855040 in words is "three hundred eighty-six million, eight hundred fifty-five thousand, forty".