400440100 has 36 divisors (see below), whose sum is σ = 920073924. Its totient is φ = 150753280.

The previous prime is 400440077. The next prime is 400440107. The reversal of 400440100 is 1044004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10614564 + 389825536 = 3258^2 + 19744^2 .

It is not an unprimeable number, because it can be changed into a prime (400440107) 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 11 ways as a sum of consecutive naturals, for example, 116077 + ... + 119476.

It is an arithmetic number, because the mean of its divisors is an integer number (25557609).

Almost surely, 2^400440100 is an apocalyptic number.

It is an amenable number.

400440100 is an abundant number, since it is smaller than the sum of its proper divisors (519633824).

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

400440100 is a wasteful number, since it uses less digits than its factorization.

400440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235584 (or 235577 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 400440100 is about 20010.9994752886. Note that the first 3 decimals coincide. The cubic root of 400440100 is about 737.0764243945.

Adding to 400440100 its reverse (1044004), we get a palindrome (401484104).

The spelling of 400440100 in words is "four hundred million, four hundred forty thousand, one hundred".