400404200 has 96 divisors (see below), whose sum is σ = 1073770560. Its totient is φ = 136012800.

The previous prime is 400404181. The next prime is 400404227. The reversal of 400404200 is 2404004.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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, 156935 + ... + 159465.

It is an arithmetic number, because the mean of its divisors is an integer number (11185110).

Almost surely, 2^400404200 is an apocalyptic number.

400404200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536885280).

400404200 is an abundant number, since it is smaller than the sum of its proper divisors (673366360).

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

400404200 is a wasteful number, since it uses less digits than its factorization.

400404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 400404200 is about 20010.1024485134. The cubic root of 400404200 is about 737.0543971013.

Adding to 400404200 its reverse (2404004), we get a palindrome (402808204).

The spelling of 400404200 in words is "four hundred million, four hundred four thousand, two hundred".