384925680 has 120 divisors (see below), whose sum is σ = 1322878128. Its totient is φ = 100251648.

The previous prime is 384925661. The next prime is 384925687. The reversal of 384925680 is 86529483.

384925680 is a `hidden beast` number, since 3 + 84 + 9 + 2 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384925687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24744 + ... + 37176.

Almost surely, 2^384925680 is an apocalyptic number.

384925680 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 384925680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661439064).

384925680 is an abundant number, since it is smaller than the sum of its proper divisors (937952448).

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

384925680 is a wasteful number, since it uses less digits than its factorization.

384925680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12495 (or 12486 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 384925680 is about 19619.5229299797. The cubic root of 384925680 is about 727.4318212934.

The spelling of 384925680 in words is "three hundred eighty-four million, nine hundred twenty-five thousand, six hundred eighty".