386813448 has 256 divisors, whose sum is σ = 1313280000. Its totient is φ = 105247296.

The previous prime is 386813447. The next prime is 386813459. The reversal of 386813448 is 844318683.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386813447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1703911 + ... + 1704137.

It is an arithmetic number, because the mean of its divisors is an integer number (5130000).

Almost surely, 2^386813448 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 386813448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640000).

386813448 is an abundant number, since it is smaller than the sum of its proper divisors (926466552).

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

386813448 is a wasteful number, since it uses less digits than its factorization.

386813448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 386813448 is about 19667.5735158153. The cubic root of 386813448 is about 728.6190493836.

The spelling of 386813448 in words is "three hundred eighty-six million, eight hundred thirteen thousand, four hundred forty-eight".