384912000 has 512 divisors, whose sum is σ = 1565740800. Its totient is φ = 93312000.

The previous prime is 384911993. The next prime is 384912001. The reversal of 384912000 is 219483.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384912001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34991995 + ... + 34992005.

Almost surely, 2^384912000 is an apocalyptic number.

384912000 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 384912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782870400).

384912000 is an abundant number, since it is smaller than the sum of its proper divisors (1180828800).

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

384912000 is an frugal number, since it uses more digits than its factorization.

384912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 384912000 is about 19619.1742945517. The cubic root of 384912000 is about 727.4232037120.

The spelling of 384912000 in words is "three hundred eighty-four million, nine hundred twelve thousand".