385992000 has 224 divisors, whose sum is σ = 1416954240. Its totient is φ = 102873600.

The previous prime is 385991939. The next prime is 385992007. The reversal of 385992000 is 299583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385992007) 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, 215107 + ... + 216893.

Almost surely, 2^385992000 is an apocalyptic number.

385992000 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 385992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708477120).

385992000 is an abundant number, since it is smaller than the sum of its proper divisors (1030962240).

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

385992000 is a wasteful number, since it uses less digits than its factorization.

385992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 385992000 is about 19646.6791086942. The cubic root of 385992000 is about 728.1029118291.

It can be divided in two parts, 3859 and 92000, that added together give a palindrome (95859).

The spelling of 385992000 in words is "three hundred eighty-five million, nine hundred ninety-two thousand".