384462 has 48 divisors (see below), whose sum is σ = 943488. Its totient is φ = 112320.

The previous prime is 384437. The next prime is 384469. The reversal of 384462 is 264483.

It is a super-2 number, since 2×384462² = 295622058888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384469) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7228 + ... + 7280.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2³⁸⁴⁴⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

384462 is an abundant number, since it is smaller than the sum of its proper divisors (559026).

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

384462 is a wasteful number, since it uses less digits than its factorization.

384462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 102 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 384462 is about 620.0499979840. The cubic root of 384462 is about 72.7139616737.

It can be divided in two parts, 3844 and 62, that multiplied together give a cube (238328 = 62³).

The spelling of 384462 in words is "three hundred eighty-four thousand, four hundred sixty-two".