385318080 has 448 divisors, whose sum is σ = 1626900480. Its totient is φ = 83939328.

The previous prime is 385318069. The next prime is 385318097. The reversal of 385318080 is 80813583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

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, 1390902 + ... + 1391178.

Almost surely, 2^385318080 is an apocalyptic number.

385318080 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 385318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813450240).

385318080 is an abundant number, since it is smaller than the sum of its proper divisors (1241582400).

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

385318080 is a wasteful number, since it uses less digits than its factorization.

385318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 385318080 is about 19629.5206258329. The cubic root of 385318080 is about 727.6789229382.

The spelling of 385318080 in words is "three hundred eighty-five million, three hundred eighteen thousand, eighty".