400144224 has 48 divisors (see below), whose sum is σ = 1060804080. Its totient is φ = 132057600.

The previous prime is 400144219. The next prime is 400144259. The reversal of 400144224 is 422441004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400144224.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10939 + ... + 30330.

It is an arithmetic number, because the mean of its divisors is an integer number (22100085).

Almost surely, 2^400144224 is an apocalyptic number.

It is an amenable number.

400144224 is an abundant number, since it is smaller than the sum of its proper divisors (660659856).

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

400144224 is a wasteful number, since it uses less digits than its factorization.

400144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41383 (or 41375 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 400144224 is about 20003.6052750498. The cubic root of 400144224 is about 736.8948433803.

Adding to 400144224 its reverse (422441004), we get a palindrome (822585228).

The spelling of 400144224 in words is "four hundred million, one hundred forty-four thousand, two hundred twenty-four".