400224 has 48 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 120960.

The previous prime is 400217. The next prime is 400237. The reversal of 400224 is 422004.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

400224 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 7 ways as a sum of consecutive naturals, for example, 867 + ... + 1245.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁴⁰⁰²²⁴ is an apocalyptic number.

400224 is a gapful number since it is divisible by the number (44) 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 400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

400224 is an abundant number, since it is smaller than the sum of its proper divisors (748896).

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

400224 is a wasteful number, since it uses less digits than its factorization.

400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 400224 is about 632.6325947973. The cubic root of 400224 is about 73.6943811238.

Adding to 400224 its reverse (422004), we get a palindrome (822228).

The spelling of 400224 in words is "four hundred thousand, two hundred twenty-four", and thus it is an iban number.