385143360 has 224 divisors, whose sum is σ = 1436217600. Its totient is φ = 85598208.

The previous prime is 385143337. The next prime is 385143373. The reversal of 385143360 is 63341583.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247866 + ... + 249414.

Almost surely, 2^385143360 is an apocalyptic number.

385143360 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 385143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718108800).

385143360 is an abundant number, since it is smaller than the sum of its proper divisors (1051074240).

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

385143360 is a wasteful number, since it uses less digits than its factorization.

385143360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 385143360 is about 19625.0696814050. The cubic root of 385143360 is about 727.5689192038.

The spelling of 385143360 in words is "three hundred eighty-five million, one hundred forty-three thousand, three hundred sixty".