385010000 has 50 divisors (see below), whose sum is σ = 932171922. Its totient is φ = 154000000.

The previous prime is 385009991. The next prime is 385010009. The reversal of 385010000 is 10583.

It is an interprime number because it is at equal distance from previous prime (385009991) and next prime (385010009).

It can be written as a sum of positive squares in 5 ways, for example, as 100480576 + 284529424 = 10024^2 + 16868^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385010009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9251 + ... + 29250.

Almost surely, 2^385010000 is an apocalyptic number.

It is an amenable number.

385010000 is an abundant number, since it is smaller than the sum of its proper divisors (547161922).

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

385010000 is an equidigital number, since it uses as much as digits as its factorization.

385010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38529 (or 38508 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 385010000 is about 19621.6716922896. The cubic root of 385010000 is about 727.4849333409.

Adding to 385010000 its reverse (10583), we get a palindrome (385020583).

The spelling of 385010000 in words is "three hundred eighty-five million, ten thousand".