400200025 has 9 divisors (see below), whose sum is σ = 496372093. Its totient is φ = 320080000.

The previous prime is 400199993. The next prime is 400200041. The reversal of 400200025 is 520002004.

It is a happy number.

The square root of 400200025 is 20005.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 176278729 + 223921296 = 13277^2 + 14964^2 .

It is not a de Polignac number, because 400200025 - 2⁵ = 400199993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400199978 and 400200014.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98025 + ... + 102025.

Almost surely, 2^400200025 is an apocalyptic number.

400200025 is the 20005-th square number.

400200025 is the 10003-rd centered octagonal number.

It is an amenable number.

400200025 is a deficient number, since it is larger than the sum of its proper divisors (96172068).

400200025 is an frugal number, since it uses more digits than its factorization.

400200025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The cubic root of 400200025 is about 736.9290956619.

Adding to 400200025 its reverse (520002004), we get a palindrome (920202029).

The spelling of 400200025 in words is "four hundred million, two hundred thousand, twenty-five".