385512960 has 320 divisors, whose sum is σ = 1442479104. Its totient is φ = 86016000.

The previous prime is 385512943. The next prime is 385512971. The reversal of 385512960 is 69215583.

It is a tau number, because it is divible by the number of its divisors (320).

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, 3816910 + ... + 3817010.

Almost surely, 2^385512960 is an apocalyptic number.

385512960 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 385512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721239552).

385512960 is an abundant number, since it is smaller than the sum of its proper divisors (1056966144).

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

385512960 is a wasteful number, since it uses less digits than its factorization.

385512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

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

The square root of 385512960 is about 19634.4839504378. The cubic root of 385512960 is about 727.8015801878.

The spelling of 385512960 in words is "three hundred eighty-five million, five hundred twelve thousand, nine hundred sixty".