210000400 has 30 divisors (see below), whose sum is σ = 504526922. Its totient is φ = 84000000.

The previous prime is 210000391. The next prime is 210000403. The reversal of 210000400 is 4000012.

It can be written as a sum of positive squares in 3 ways, for example, as 9834496 + 200165904 = 3136^2 + 14148^2 .

It is not an unprimeable number, because it can be changed into a prime (210000403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 262101 + ... + 262900.

Almost surely, 2^210000400 is an apocalyptic number.

210000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210000400 is an abundant number, since it is smaller than the sum of its proper divisors (294526522).

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

210000400 is a wasteful number, since it uses less digits than its factorization.

210000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525019 (or 525008 counting only the distinct ones).

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

The square root of 210000400 is about 14491.3905474941. The cubic root of 210000400 is about 594.3925726679.

Adding to 210000400 its reverse (4000012), we get a palindrome (214000412).

The spelling of 210000400 in words is "two hundred ten million, four hundred", and thus it is an aban number.