400224412 has 72 divisors (see below), whose sum is σ = 842444064. Its totient is φ = 162908928.

The previous prime is 400224397. The next prime is 400224413. The reversal of 400224412 is 214422004.

It is a super-3 number, since 3×400224412³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400224412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400224413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2031498 + ... + 2031694.

It is an arithmetic number, because the mean of its divisors is an integer number (11700612).

Almost surely, 2^400224412 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 400224412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421222032).

400224412 is an abundant number, since it is smaller than the sum of its proper divisors (442219652).

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

400224412 is a wasteful number, since it uses less digits than its factorization.

400224412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 400224412 is about 20005.6095133340. The cubic root of 400224412 is about 736.9440641141.

Adding to 400224412 its reverse (214422004), we get a palindrome (614646416).

The spelling of 400224412 in words is "four hundred million, two hundred twenty-four thousand, four hundred twelve".