384923520 has 192 divisors, whose sum is σ = 1407734640. Its totient is φ = 96583680.

The previous prime is 384923507. The next prime is 384923521. The reversal of 384923520 is 25329483.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×384923520² = 296332232498380800, which contains 22 as substring.

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 (384923521) 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, 95955 + ... + 99885.

Almost surely, 2^384923520 is an apocalyptic number.

384923520 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 384923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703867320).

384923520 is an abundant number, since it is smaller than the sum of its proper divisors (1022811120).

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

384923520 is a wasteful number, since it uses less digits than its factorization.

384923520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 384923520 is about 19619.4678826924. The cubic root of 384923520 is about 727.4304606363.

The spelling of 384923520 in words is "three hundred eighty-four million, nine hundred twenty-three thousand, five hundred twenty".