385192000 has 112 divisors (see below), whose sum is σ = 966429360. Its totient is φ = 152064000.

The previous prime is 385191991. The next prime is 385192009. The reversal of 385192000 is 291583.

It is an interprime number because it is at equal distance from previous prime (385191991) and next prime (385192009).

It can be written as a sum of positive squares in 8 ways, for example, as 207129664 + 178062336 = 14392^2 + 13344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 385192000.

It is not an unprimeable number, because it can be changed into a prime (385192009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711730 + ... + 712270.

Almost surely, 2^385192000 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 385192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483214680).

385192000 is an abundant number, since it is smaller than the sum of its proper divisors (581237360).

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

385192000 is an equidigital number, since it uses as much as digits as its factorization.

385192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 385192000 is about 19626.3088735503. The cubic root of 385192000 is about 727.5995462951.

The spelling of 385192000 in words is "three hundred eighty-five million, one hundred ninety-two thousand".