210013400 has 48 divisors (see below), whose sum is σ = 489477600. Its totient is φ = 83799680.

The previous prime is 210013399. The next prime is 210013417. The reversal of 210013400 is 4310012.

It is a happy number.

210013400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 100769 + ... + 102831.

It is an arithmetic number, because the mean of its divisors is an integer number (10197450).

Almost surely, 2^210013400 is an apocalyptic number.

210013400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210013400 is an abundant number, since it is smaller than the sum of its proper divisors (279464200).

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

210013400 is a wasteful number, since it uses less digits than its factorization.

210013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 210013400 is about 14491.8390827389. The cubic root of 210013400 is about 594.4048376351.

Adding to 210013400 its reverse (4310012), we get a palindrome (214323412).

The spelling of 210013400 in words is "two hundred ten million, thirteen thousand, four hundred".