400340200 has 96 divisors (see below), whose sum is σ = 1034933760. Its totient is φ = 143020800.

The previous prime is 400340189. The next prime is 400340201. The reversal of 400340200 is 2043004.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (400340201) 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 23 ways as a sum of consecutive naturals, for example, 78117 + ... + 83083.

It is an arithmetic number, because the mean of its divisors is an integer number (10780560).

Almost surely, 2^400340200 is an apocalyptic number.

400340200 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 400340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517466880).

400340200 is an abundant number, since it is smaller than the sum of its proper divisors (634593560).

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

400340200 is a wasteful number, since it uses less digits than its factorization.

400340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 400340200 is about 20008.5031923930. The cubic root of 400340200 is about 737.0151251232.

Adding to 400340200 its reverse (2043004), we get a palindrome (402383204).

The spelling of 400340200 in words is "four hundred million, three hundred forty thousand, two hundred".