210230400 has 192 divisors, whose sum is σ = 705758400. Its totient is φ = 54988800.

The previous prime is 210230399. The next prime is 210230407. The reversal of 210230400 is 4032012.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (210230407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585421 + ... + 585779.

It is an arithmetic number, because the mean of its divisors is an integer number (3675825).

Almost surely, 2^210230400 is an apocalyptic number.

210230400 is a gapful number since it is divisible by the number (20) 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 210230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352879200).

210230400 is an abundant number, since it is smaller than the sum of its proper divisors (495528000).

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

210230400 is a wasteful number, since it uses less digits than its factorization.

210230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 210230400 is about 14499.3241221789. The cubic root of 210230400 is about 594.6094935437.

Adding to 210230400 its reverse (4032012), we get a palindrome (214262412).

The spelling of 210230400 in words is "two hundred ten million, two hundred thirty thousand, four hundred".