385253120 has 288 divisors, whose sum is σ = 1161646080. Its totient is φ = 119439360.

The previous prime is 385253117. The next prime is 385253137. The reversal of 385253120 is 21352583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5277404 + ... + 5277476.

Almost surely, 2^385253120 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 385253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580823040).

385253120 is an abundant number, since it is smaller than the sum of its proper divisors (776392960).

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

385253120 is a wasteful number, since it uses less digits than its factorization.

385253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 385253120 is about 19627.8659053907. The cubic root of 385253120 is about 727.6380279981.

The spelling of 385253120 in words is "three hundred eighty-five million, two hundred fifty-three thousand, one hundred twenty".