385120000 has 180 divisors, whose sum is σ = 1005709320. Its totient is φ = 146944000.

The previous prime is 385119991. The next prime is 385120003. The reversal of 385120000 is 21583.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 385120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4639959 + ... + 4640041.

It is an arithmetic number, because the mean of its divisors is an integer number (5587274).

Almost surely, 2^385120000 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 385120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502854660).

385120000 is an abundant number, since it is smaller than the sum of its proper divisors (620589320).

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

385120000 is an frugal number, since it uses more digits than its factorization.

385120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 385120000 is about 19624.4745152577. The cubic root of 385120000 is about 727.5542092236.

Adding to 385120000 its reverse (21583), we get a palindrome (385141583).

The spelling of 385120000 in words is "three hundred eighty-five million, one hundred twenty thousand".