384506320 has 80 divisors (see below), whose sum is σ = 981097920. Its totient is φ = 138982400.

The previous prime is 384506303. The next prime is 384506321. The reversal of 384506320 is 23605483.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×384506320² = 295690220239884800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384506321) 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, 156300 + ... + 158740.

It is an arithmetic number, because the mean of its divisors is an integer number (12263724).

Almost surely, 2^384506320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384506320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490548960).

384506320 is an abundant number, since it is smaller than the sum of its proper divisors (596591600).

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

384506320 is a wasteful number, since it uses less digits than its factorization.

384506320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 384506320 is about 19608.8327036568. The cubic root of 384506320 is about 727.1675567239.

The spelling of 384506320 in words is "three hundred eighty-four million, five hundred six thousand, three hundred twenty".