385092000 has 288 divisors, whose sum is σ = 1441177920. Its totient is φ = 97113600.

The previous prime is 385091989. The next prime is 385092023. The reversal of 385092000 is 290583.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683719 + ... + 684281.

It is an arithmetic number, because the mean of its divisors is an integer number (5004090).

Almost surely, 2^385092000 is an apocalyptic number.

385092000 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 385092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720588960).

385092000 is an abundant number, since it is smaller than the sum of its proper divisors (1056085920).

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

385092000 is a wasteful number, since it uses less digits than its factorization.

385092000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 385092000 is about 19623.7611073922. The cubic root of 385092000 is about 727.5365766143.

The spelling of 385092000 in words is "three hundred eighty-five million, ninety-two thousand".