385356000 has 192 divisors, whose sum is σ = 1337394240. Its totient is φ = 96665600.

The previous prime is 385355987. The next prime is 385356001. The reversal of 385356000 is 653583.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385356001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203056 + ... + 204944.

It is an arithmetic number, because the mean of its divisors is an integer number (6965595).

Almost surely, 2^385356000 is an apocalyptic number.

385356000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

385356000 is the 11334-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668697120).

385356000 is an abundant number, since it is smaller than the sum of its proper divisors (952038240).

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

385356000 is a wasteful number, since it uses less digits than its factorization.

385356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 385356000 is about 19630.4864942263. The cubic root of 385356000 is about 727.7027929831.

The spelling of 385356000 in words is "three hundred eighty-five million, three hundred fifty-six thousand".