384735960 has 128 divisors (see below), whose sum is σ = 1465689600. Its totient is φ = 87937920.

The previous prime is 384735931. The next prime is 384735979. The reversal of 384735960 is 69537483.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17886 + ... + 33005.

It is an arithmetic number, because the mean of its divisors is an integer number (11450700).

Almost surely, 2^384735960 is an apocalyptic number.

384735960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384735960 is an abundant number, since it is smaller than the sum of its proper divisors (1080953640).

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

384735960 is a wasteful number, since it uses less digits than its factorization.

384735960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50918 (or 50908 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 384735960 is about 19614.6873541232. The cubic root of 384735960 is about 727.3122908212.

The spelling of 384735960 in words is "three hundred eighty-four million, seven hundred thirty-five thousand, nine hundred sixty".