10400200 has 48 divisors (see below), whose sum is σ = 24412500. Its totient is φ = 4120320.

The previous prime is 10400189. The next prime is 10400231. The reversal of 10400200 is 200401.

10400200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2815684 + 7584516 = 1678^2 + 2754^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29626 + ... + 29974.

Almost surely, 2^10400200 is an apocalyptic number.

10400200 is a gapful number since it is divisible by the number (10) 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 10400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12206250).

10400200 is an abundant number, since it is smaller than the sum of its proper divisors (14012300).

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

10400200 is a wasteful number, since it uses less digits than its factorization.

10400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 10400200 is about 3224.9341078540. The cubic root of 10400200 is about 218.2799758249.

Adding to 10400200 its reverse (200401), we get a palindrome (10600601).

The spelling of 10400200 in words is "ten million, four hundred thousand, two hundred".