384813760 has 56 divisors (see below), whose sum is σ = 947958480. Its totient is φ = 148614144.

The previous prime is 384813749. The next prime is 384813809. The reversal of 384813760 is 67318483.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11454 + ... + 30013.

It is an arithmetic number, because the mean of its divisors is an integer number (16927830).

Almost surely, 2^384813760 is an apocalyptic number.

It is an amenable number.

384813760 is an abundant number, since it is smaller than the sum of its proper divisors (563144720).

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

384813760 is a wasteful number, since it uses less digits than its factorization.

384813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41513 (or 41503 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 384813760 is about 19616.6704616252. The cubic root of 384813760 is about 727.3613123913.

The spelling of 384813760 in words is "three hundred eighty-four million, eight hundred thirteen thousand, seven hundred sixty".