384972 has 24 divisors (see below), whose sum is σ = 1026816. Its totient is φ = 109968.

The previous prime is 384961. The next prime is 384973. The reversal of 384972 is 279483.

It is not an unprimeable number, because it can be changed into a prime (384973) by changing a digit.

384972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2208 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (42784).

2³⁸⁴⁹⁷² is an apocalyptic number.

It is an amenable number.

384972 is an abundant number, since it is smaller than the sum of its proper divisors (641844).

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

384972 is a wasteful number, since it uses less digits than its factorization.

384972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4595 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 384972 is about 620.4611188463. The cubic root of 384972 is about 72.7460998606.

It can be divided in two parts, 384 and 972, that multiplied together give a cube (373248 = 72³).

The spelling of 384972 in words is "three hundred eighty-four thousand, nine hundred seventy-two".