384729600 has 240 divisors, whose sum is σ = 1306068192. Its totient is φ = 99778560.

The previous prime is 384729559. The next prime is 384729607. The reversal of 384729600 is 6927483.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384729607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1651084 + ... + 1651316.

Almost surely, 2^384729600 is an apocalyptic number.

384729600 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 384729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653034096).

384729600 is an abundant number, since it is smaller than the sum of its proper divisors (921338592).

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

384729600 is a wasteful number, since it uses less digits than its factorization.

384729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 384729600 is about 19614.5252300432. The cubic root of 384729600 is about 727.3082831102.

The spelling of 384729600 in words is "three hundred eighty-four million, seven hundred twenty-nine thousand, six hundred".