384414912 has 168 divisors, whose sum is σ = 1278957056. Its totient is φ = 108117504.

The previous prime is 384414853. The next prime is 384414917. The reversal of 384414912 is 219414483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (384414917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269433 + ... + 270855.

Almost surely, 2^384414912 is an apocalyptic number.

384414912 is a gapful number since it is divisible by the number (32) 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 384414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639478528).

384414912 is an abundant number, since it is smaller than the sum of its proper divisors (894542144).

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

384414912 is a wasteful number, since it uses less digits than its factorization.

384414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1502 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 384414912 is about 19606.5017787468. The cubic root of 384414912 is about 727.1099294094.

The spelling of 384414912 in words is "three hundred eighty-four million, four hundred fourteen thousand, nine hundred twelve".