384968403 has 16 divisors (see below), whose sum is σ = 572158240. Its totient is φ = 255820032.

The previous prime is 384968351. The next prime is 384968449. The reversal of 384968403 is 304869483.

It is not a de Polignac number, because 384968403 - 2¹⁴ = 384952019 is a prime.

It is a super-3 number, since 3×384968403³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (384968453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14326 + ... + 31227.

It is an arithmetic number, because the mean of its divisors is an integer number (35759890).

Almost surely, 2^384968403 is an apocalyptic number.

384968403 is a deficient number, since it is larger than the sum of its proper divisors (187189837).

384968403 is a wasteful number, since it uses less digits than its factorization.

384968403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45875 (or 45869 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 384968403 is about 19620.6116877125. The cubic root of 384968403 is about 727.4587329127.

It can be divided in two parts, 38 and 4968403, that added together give a square (4968441 = 2229²).

The spelling of 384968403 in words is "three hundred eighty-four million, nine hundred sixty-eight thousand, four hundred three".