386574720 has 256 divisors, whose sum is σ = 1439424000. Its totient is φ = 88209408.

The previous prime is 386574701. The next prime is 386574733. The reversal of 386574720 is 27475683.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658267 + ... + 658853.

It is an arithmetic number, because the mean of its divisors is an integer number (5622750).

Almost surely, 2^386574720 is an apocalyptic number.

386574720 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 386574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719712000).

386574720 is an abundant number, since it is smaller than the sum of its proper divisors (1052849280).

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

386574720 is an equidigital number, since it uses as much as digits as its factorization.

386574720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 386574720 is about 19661.5035030386. The cubic root of 386574720 is about 728.4691256368.

The spelling of 386574720 in words is "three hundred eighty-six million, five hundred seventy-four thousand, seven hundred twenty".