384744 has 64 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 112640.

The previous prime is 384737. The next prime is 384751. The reversal of 384744 is 447483.

It is an interprime number because it is at equal distance from previous prime (384737) and next prime (384751).

It is an unprimeable number.

384744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9364 + ... + 9404.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2³⁸⁴⁷⁴⁴ is an apocalyptic number.

384744 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

384744 is an abundant number, since it is smaller than the sum of its proper divisors (703896).

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

384744 is a wasteful number, since it uses less digits than its factorization.

384744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 384744 is about 620.2773573169. The cubic root of 384744 is about 72.7317357110.

It can be divided in two parts, 384 and 744, that added together give a triangular number (1128 = T₄₇).

The spelling of 384744 in words is "three hundred eighty-four thousand, seven hundred forty-four".