385659120 has 320 divisors, whose sum is σ = 1529902080. Its totient is φ = 78028800.

The previous prime is 385659077. The next prime is 385659133. The reversal of 385659120 is 21956583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 757426 + ... + 757934.

It is an arithmetic number, because the mean of its divisors is an integer number (4780944).

Almost surely, 2^385659120 is an apocalyptic number.

385659120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385659120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764951040).

385659120 is an abundant number, since it is smaller than the sum of its proper divisors (1144242960).

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

385659120 is a wasteful number, since it uses less digits than its factorization.

385659120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 385659120 is about 19638.2056206773. The cubic root of 385659120 is about 727.8935460008.

The spelling of 385659120 in words is "three hundred eighty-five million, six hundred fifty-nine thousand, one hundred twenty".