385302960 has 320 divisors, whose sum is σ = 1607040000. Its totient is φ = 82833408.

The previous prime is 385302959. The next prime is 385303001. The reversal of 385302960 is 69203583.

385302960 is a `hidden beast` number, since 38 + 530 + 2 + 96 + 0 = 666.

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

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, 256291 + ... + 257789.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2^385302960 is an apocalyptic number.

385302960 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 385302960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520000).

385302960 is an abundant number, since it is smaller than the sum of its proper divisors (1221737040).

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

385302960 is a wasteful number, since it uses less digits than its factorization.

385302960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 385302960 is about 19629.1354878405. The cubic root of 385302960 is about 727.6694046988.

The spelling of 385302960 in words is "three hundred eighty-five million, three hundred two thousand, nine hundred sixty".