385128408 has 64 divisors (see below), whose sum is σ = 1110159360. Its totient is φ = 109057536.

The previous prime is 385128391. The next prime is 385128409. The reversal of 385128408 is 804821583.

It is a super-2 number, since 2×385128408² = 296647781297228928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385128409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8841 + ... + 29127.

It is an arithmetic number, because the mean of its divisors is an integer number (17346240).

Almost surely, 2^385128408 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 385128408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555079680).

385128408 is an abundant number, since it is smaller than the sum of its proper divisors (725030952).

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

385128408 is a wasteful number, since it uses less digits than its factorization.

385128408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20416 (or 20412 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 385128408 is about 19624.6887363851. The cubic root of 385128408 is about 727.5595038775.

The spelling of 385128408 in words is "three hundred eighty-five million, one hundred twenty-eight thousand, four hundred eight".