385605000 has 480 divisors, whose sum is σ = 1535133600. Its totient is φ = 86400000.

The previous prime is 385604993. The next prime is 385605007. The reversal of 385605000 is 506583.

It is an interprime number because it is at equal distance from previous prime (385604993) and next prime (385605007).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (385605007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9404980 + ... + 9405020.

It is an arithmetic number, because the mean of its divisors is an integer number (3198195).

Almost surely, 2^385605000 is an apocalyptic number.

385605000 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 385605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767566800).

385605000 is an abundant number, since it is smaller than the sum of its proper divisors (1149528600).

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

385605000 is a wasteful number, since it uses less digits than its factorization.

385605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 385605000 is about 19636.8276460328. The cubic root of 385605000 is about 727.8594956876.

The spelling of 385605000 in words is "three hundred eighty-five million, six hundred five thousand".