384975360 has 720 divisors, whose sum is σ = 1746531072. Its totient is φ = 77414400.

The previous prime is 384975347. The next prime is 384975361. The reversal of 384975360 is 63579483.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (384975361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12418545 + ... + 12418575.

Almost surely, 2^384975360 is an apocalyptic number.

384975360 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 384975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873265536).

384975360 is an abundant number, since it is smaller than the sum of its proper divisors (1361555712).

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

384975360 is a wasteful number, since it uses less digits than its factorization.

384975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

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

The square root of 384975360 is about 19620.7889749622. The cubic root of 384975360 is about 727.4631150038.

The spelling of 384975360 in words is "three hundred eighty-four million, nine hundred seventy-five thousand, three hundred sixty".