385258960 has 80 divisors (see below), whose sum is σ = 930721680. Its totient is φ = 148193280.

The previous prime is 385258949. The next prime is 385258999. The reversal of 385258960 is 69852583.

It can be written as a sum of positive squares in 8 ways, for example, as 576 + 385258384 = 24^2 + 19628^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 385258960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238636 + ... + 240244.

It is an arithmetic number, because the mean of its divisors is an integer number (11634021).

Almost surely, 2^385258960 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 385258960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465360840).

385258960 is an abundant number, since it is smaller than the sum of its proper divisors (545462720).

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

385258960 is a wasteful number, since it uses less digits than its factorization.

385258960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The square root of 385258960 is about 19628.0146729108. The cubic root of 385258960 is about 727.6417047017.

The spelling of 385258960 in words is "three hundred eighty-five million, two hundred fifty-eight thousand, nine hundred sixty".