384004827953 has 8 divisors (see below), whose sum is σ = 390880512000. Its totient is φ = 377179515648.

The previous prime is 384004827937. The next prime is 384004827967. The reversal of 384004827953 is 359728400483.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 384004827953 - 2⁴ = 384004827937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 384004827895 and 384004827904.

It is not an unprimeable number, because it can be changed into a prime (384004827553) 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 7 ways as a sum of consecutive naturals, for example, 12577553 + ... + 12608046.

It is an arithmetic number, because the mean of its divisors is an integer number (48860064000).

Almost surely, 2^384004827953 is an apocalyptic number.

It is an amenable number.

384004827953 is a deficient number, since it is larger than the sum of its proper divisors (6875684047).

384004827953 is a wasteful number, since it uses less digits than its factorization.

384004827953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25185871.

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 384004827953 in words is "three hundred eighty-four billion, four million, eight hundred twenty-seven thousand, nine hundred fifty-three".