400384 has 44 divisors (see below), whose sum is σ = 884304. Its totient is φ = 180224.

The previous prime is 400381. The next prime is 400391. The reversal of 400384 is 483004.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17397 + ... + 17419.

2⁴⁰⁰³⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442152).

400384 is an abundant number, since it is smaller than the sum of its proper divisors (483920).

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

400384 is a wasteful number, since it uses less digits than its factorization.

400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 400384 is about 632.7590378651. The cubic root of 400384 is about 73.7042002335.

Adding to 400384 its reverse (483004), we get a palindrome (883388).

It can be divided in two parts, 400 and 384, that added together give a square (784 = 28²).

The spelling of 400384 in words is "four hundred thousand, three hundred eighty-four".