385280000 has 240 divisors, whose sum is σ = 1125764640. Its totient is φ = 129024000.

The previous prime is 385279991. The next prime is 385280029. The reversal of 385280000 is 82583.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 8959979 + ... + 8960021.

It is an arithmetic number, because the mean of its divisors is an integer number (4690686).

Almost surely, 2^385280000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562882320).

385280000 is an abundant number, since it is smaller than the sum of its proper divisors (740484640).

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

385280000 is an frugal number, since it uses more digits than its factorization.

385280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 385280000 is about 19628.5506342165. The cubic root of 385280000 is about 727.6549505998.

The spelling of 385280000 in words is "three hundred eighty-five million, two hundred eighty thousand".