385066500 has 432 divisors, whose sum is σ = 1458003456. Its totient is φ = 78624000.

The previous prime is 385066499. The next prime is 385066501. The reversal of 385066500 is 5660583.

It is an interprime number because it is at equal distance from previous prime (385066499) and next prime (385066501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385066501) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12421485 + ... + 12421515.

It is an arithmetic number, because the mean of its divisors is an integer number (3375008).

Almost surely, 2^385066500 is an apocalyptic number.

385066500 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 385066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729001728).

385066500 is an abundant number, since it is smaller than the sum of its proper divisors (1072936956).

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

385066500 is a wasteful number, since it uses less digits than its factorization.

385066500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 385066500 is about 19623.1113740915. Note that the first 3 decimals coincide. The cubic root of 385066500 is about 727.5205176013.

The spelling of 385066500 in words is "three hundred eighty-five million, sixty-six thousand, five hundred".