384976140 has 48 divisors (see below), whose sum is σ = 1083919200. Its totient is φ = 102090240.

The previous prime is 384976127. The next prime is 384976147. The reversal of 384976140 is 41679483.

It is a junction number, because it is equal to n+sod(n) for n = 384976092 and 384976101.

It is not an unprimeable number, because it can be changed into a prime (384976147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6865 + ... + 28584.

It is an arithmetic number, because the mean of its divisors is an integer number (22581650).

Almost surely, 2^384976140 is an apocalyptic number.

384976140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384976140 is an abundant number, since it is smaller than the sum of its proper divisors (698943060).

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

384976140 is a wasteful number, since it uses less digits than its factorization.

384976140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35642 (or 35640 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 384976140 is about 19620.8088518287. The cubic root of 384976140 is about 727.4636063087.

The spelling of 384976140 in words is "three hundred eighty-four million, nine hundred seventy-six thousand, one hundred forty".