384920000 has 70 divisors (see below), whose sum is σ = 954575688. Its totient is φ = 153952000.

The previous prime is 384919957. The next prime is 384920023. The reversal of 384920000 is 29483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 35189 + ... + 44811.

Almost surely, 2^384920000 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 384920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477287844).

384920000 is an abundant number, since it is smaller than the sum of its proper divisors (569655688).

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

384920000 is an frugal number, since it uses more digits than its factorization.

384920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9655 (or 9630 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 384920000 is about 19619.3781756711. The cubic root of 384920000 is about 727.4282432581.

Adding to 384920000 its reverse (29483), we get a palindrome (384949483).

The spelling of 384920000 in words is "three hundred eighty-four million, nine hundred twenty thousand".