384046080 has 176 divisors, whose sum is σ = 1340604864. Its totient is φ = 93061120.

The previous prime is 384046079. The next prime is 384046081. The reversal of 384046080 is 80640483.

It is an interprime number because it is at equal distance from previous prime (384046079) and next prime (384046081).

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384046081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167824 + ... + 170096.

Almost surely, 2^384046080 is an apocalyptic number.

384046080 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 384046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670302432).

384046080 is an abundant number, since it is smaller than the sum of its proper divisors (956558784).

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

384046080 is a wasteful number, since it uses less digits than its factorization.

384046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 384046080 is about 19597.0936620714. The cubic root of 384046080 is about 726.8773098995.

The spelling of 384046080 in words is "three hundred eighty-four million, forty-six thousand, eighty".