385032960 has 288 divisors, whose sum is σ = 1473151680. Its totient is φ = 94666752.

The previous prime is 385032959. The next prime is 385032979. The reversal of 385032960 is 69230583.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 448852 + ... + 449708.

It is an arithmetic number, because the mean of its divisors is an integer number (5115110).

Almost surely, 2^385032960 is an apocalyptic number.

385032960 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 385032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736575840).

385032960 is an abundant number, since it is smaller than the sum of its proper divisors (1088118720).

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

385032960 is a wasteful number, since it uses less digits than its factorization.

385032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 880 counting only the distinct ones).

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

The square root of 385032960 is about 19622.2567509448. The cubic root of 385032960 is about 727.4993941965.

The spelling of 385032960 in words is "three hundred eighty-five million, thirty-two thousand, nine hundred sixty".