400414144 has 56 divisors (see below), whose sum is σ = 863467920. Its totient is φ = 183128064.

The previous prime is 400414127. The next prime is 400414169. The reversal of 400414144 is 441414004.

It is a happy number.

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, 91887 + ... + 96145.

It is an arithmetic number, because the mean of its divisors is an integer number (15419070).

Almost surely, 2^400414144 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 400414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431733960).

400414144 is an abundant number, since it is smaller than the sum of its proper divisors (463053776).

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

400414144 is a wasteful number, since it uses less digits than its factorization.

400414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 400414144 is about 20010.3509214606. The cubic root of 400414144 is about 737.0604986093.

Adding to 400414144 its reverse (441414004), we get a palindrome (841828148).

The spelling of 400414144 in words is "four hundred million, four hundred fourteen thousand, one hundred forty-four".