400230400 has 72 divisors (see below), whose sum is σ = 992456010. Its totient is φ = 160071680.

The previous prime is 400230373. The next prime is 400230403. The reversal of 400230400 is 4032004.

It can be written as a sum of positive squares in 3 ways, for example, as 153363456 + 246866944 = 12384^2 + 15712^2 .

It is not an unprimeable number, because it can be changed into a prime (400230403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47292 + ... + 55108.

Almost surely, 2^400230400 is an apocalyptic number.

400230400 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 400230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496228005).

400230400 is an abundant number, since it is smaller than the sum of its proper divisors (592225610).

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

400230400 is an equidigital number, since it uses as much as digits as its factorization.

400230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849 (or 7824 counting only the distinct ones).

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

The square root of 400230400 is about 20005.7591707988. The cubic root of 400230400 is about 736.9477393847.

Adding to 400230400 its reverse (4032004), we get a palindrome (404262404).

It can be divided in two parts, 400 and 230400, that multiplied together give a square (92160000 = 9600²).

The spelling of 400230400 in words is "four hundred million, two hundred thirty thousand, four hundred".