385105240 has 64 divisors (see below), whose sum is σ = 935494560. Its totient is φ = 141834240.

The previous prime is 385105187. The next prime is 385105247. The reversal of 385105240 is 42501583.

It is a junction number, because it is equal to n+sod(n) for n = 385105199 and 385105208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385105247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296272 + ... + 297568.

Almost surely, 2^385105240 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 385105240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467747280).

385105240 is an abundant number, since it is smaller than the sum of its proper divisors (550389320).

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

385105240 is a wasteful number, since it uses less digits than its factorization.

385105240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 385105240 is about 19624.0984506295. The cubic root of 385105240 is about 727.5449144261.

It can be divided in two parts, 385 and 105240, that added together give a square (105625 = 325²).

The spelling of 385105240 in words is "three hundred eighty-five million, one hundred five thousand, two hundred forty".