385604648 has 128 divisors (see below), whose sum is σ = 898128000. Its totient is φ = 152785920.

The previous prime is 385604647. The next prime is 385604669. The reversal of 385604648 is 846406583.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 385604599 and 385604608.

It is not an unprimeable number, because it can be changed into a prime (385604647) 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 31 ways as a sum of consecutive naturals, for example, 1957286 + ... + 1957482.

It is an arithmetic number, because the mean of its divisors is an integer number (7016625).

Almost surely, 2^385604648 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 385604648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449064000).

385604648 is an abundant number, since it is smaller than the sum of its proper divisors (512523352).

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

385604648 is a wasteful number, since it uses less digits than its factorization.

385604648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The square root of 385604648 is about 19636.8186832796. The cubic root of 385604648 is about 727.8592742117.

The spelling of 385604648 in words is "three hundred eighty-five million, six hundred four thousand, six hundred forty-eight".