384562080 has 384 divisors, whose sum is σ = 1567157760. Its totient is φ = 87340032.

The previous prime is 384562067. The next prime is 384562081. The reversal of 384562080 is 80265483.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384562081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2449362 + ... + 2449518.

It is an arithmetic number, because the mean of its divisors is an integer number (4081140).

Almost surely, 2^384562080 is an apocalyptic number.

384562080 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 384562080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783578880).

384562080 is an abundant number, since it is smaller than the sum of its proper divisors (1182595680).

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

384562080 is an equidigital number, since it uses as much as digits as its factorization.

384562080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 384562080 is about 19610.2544603582. The cubic root of 384562080 is about 727.2027056070.

The spelling of 384562080 in words is "three hundred eighty-four million, five hundred sixty-two thousand, eighty".