384968 has 8 divisors (see below), whose sum is σ = 721830. Its totient is φ = 192480.

The previous prime is 384961. The next prime is 384973. The reversal of 384968 is 869483.

It can be written as a sum of positive squares in only one way, i.e., 293764 + 91204 = 542^2 + 302^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×384968² = 296400722048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (384961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24053 + ... + 24068.

2³⁸⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

384968 is a deficient number, since it is larger than the sum of its proper divisors (336862).

384968 is a wasteful number, since it uses less digits than its factorization.

384968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48127 (or 48123 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 384968 is about 620.4578954289. The cubic root of 384968 is about 72.7458479068.

The spelling of 384968 in words is "three hundred eighty-four thousand, nine hundred sixty-eight".