384954 has 16 divisors (see below), whose sum is σ = 780192. Its totient is φ = 126608.

The previous prime is 384941. The next prime is 384961. The reversal of 384954 is 459483.

384954 is nontrivially palindromic in base 14.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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, 112 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (48762).

2³⁸⁴⁹⁵⁴ is an apocalyptic number.

384954 is the 332-nd nonagonal number.

384954 is an abundant number, since it is smaller than the sum of its proper divisors (395238).

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

384954 is a wasteful number, since it uses less digits than its factorization.

384954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861.

The product of its digits is 17280, while the sum is 33.

The square root of 384954 is about 620.4466133359. The cubic root of 384954 is about 72.7449660550.

Subtracting 384954 from its reverse (459483), we obtain a square (74529 = 273²).

The spelling of 384954 in words is "three hundred eighty-four thousand, nine hundred fifty-four".