384490080 has 576 divisors, whose sum is σ = 1585059840. Its totient is φ = 83939328.

The previous prime is 384490027. The next prime is 384490081. The reversal of 384490080 is 80094483.

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 (384490081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8180617 + ... + 8180663.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^384490080 is an apocalyptic number.

384490080 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 384490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

384490080 is an abundant number, since it is smaller than the sum of its proper divisors (1200569760).

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

384490080 is a wasteful number, since it uses less digits than its factorization.

384490080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

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

The square root of 384490080 is about 19608.4186001829. The cubic root of 384490080 is about 727.1573190357.

The spelling of 384490080 in words is "three hundred eighty-four million, four hundred ninety thousand, eighty".