400330144 has 24 divisors (see below), whose sum is σ = 834512868. Its totient is φ = 188390400.

The previous prime is 400330141. The next prime is 400330193. The reversal of 400330144 is 441033004.

It can be written as a sum of positive squares in 2 ways, for example, as 399520144 + 810000 = 19988^2 + 900^2 .

It is not an unprimeable number, because it can be changed into a prime (400330141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 367407 + ... + 368494.

Almost surely, 2^400330144 is an apocalyptic number.

It is an amenable number.

400330144 is an abundant number, since it is smaller than the sum of its proper divisors (434182724).

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

400330144 is a wasteful number, since it uses less digits than its factorization.

400330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735928 (or 735920 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 400330144 is about 20008.2518976546. The cubic root of 400330144 is about 737.0089541332.

Adding to 400330144 its reverse (441033004), we get a palindrome (841363148).

The spelling of 400330144 in words is "four hundred million, three hundred thirty thousand, one hundred forty-four".