400144300 has 72 divisors (see below), whose sum is σ = 927971856. Its totient is φ = 149237760.

The previous prime is 400144289. The next prime is 400144309. The reversal of 400144300 is 3441004.

400144300 is a modest number, since divided by 144300 gives 400 as remainder.

It is not an unprimeable number, because it can be changed into a prime (400144309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191059 + ... + 193141.

It is an arithmetic number, because the mean of its divisors is an integer number (12888498).

Almost surely, 2^400144300 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 400144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463985928).

400144300 is an abundant number, since it is smaller than the sum of its proper divisors (527827556).

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

400144300 is a wasteful number, since it uses less digits than its factorization.

400144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 400144300 is about 20003.6071747073. The cubic root of 400144300 is about 736.8948900335.

Adding to 400144300 its reverse (3441004), we get a palindrome (403585304).

The spelling of 400144300 in words is "four hundred million, one hundred forty-four thousand, three hundred".