385016760 has 256 divisors, whose sum is σ = 1399680000. Its totient is φ = 93768192.

The previous prime is 385016719. The next prime is 385016761. The reversal of 385016760 is 67610583.

385016760 is a `hidden beast` number, since 38 + 501 + 67 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385016761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 594757 + ... + 595403.

It is an arithmetic number, because the mean of its divisors is an integer number (5467500).

Almost surely, 2^385016760 is an apocalyptic number.

385016760 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 385016760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699840000).

385016760 is an abundant number, since it is smaller than the sum of its proper divisors (1014663240).

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

385016760 is a wasteful number, since it uses less digits than its factorization.

385016760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 385016760 is about 19621.8439500471. The cubic root of 385016760 is about 727.4891910393.

The spelling of 385016760 in words is "three hundred eighty-five million, sixteen thousand, seven hundred sixty".