385920000 has 330 divisors, whose sum is σ = 1413256988. Its totient is φ = 101376000.

The previous prime is 385919999. The next prime is 385920047. The reversal of 385920000 is 29583.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5759967 + ... + 5760033.

Almost surely, 2^385920000 is an apocalyptic number.

385920000 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 385920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706628494).

385920000 is an abundant number, since it is smaller than the sum of its proper divisors (1027336988).

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

385920000 is an equidigital number, since it uses as much as digits as its factorization.

385920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 385920000 is about 19644.8466524939. The cubic root of 385920000 is about 728.0576374283.

Adding to 385920000 its reverse (29583), we get a palindrome (385949583).

The spelling of 385920000 in words is "three hundred eighty-five million, nine hundred twenty thousand".