385270900 has 72 divisors (see below), whose sum is σ = 958438656. Its totient is φ = 131683200.

The previous prime is 385270889. The next prime is 385270957. The reversal of 385270900 is 9072583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301062 + ... + 302338.

It is an arithmetic number, because the mean of its divisors is an integer number (13311648).

Almost surely, 2^385270900 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 385270900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479219328).

385270900 is an abundant number, since it is smaller than the sum of its proper divisors (573167756).

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

385270900 is a wasteful number, since it uses less digits than its factorization.

385270900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 385270900 is about 19628.3188276531. The cubic root of 385270900 is about 727.6492216821.

The spelling of 385270900 in words is "three hundred eighty-five million, two hundred seventy thousand, nine hundred".