210412800 has 324 divisors, whose sum is σ = 813023484. Its totient is φ = 51609600.

The previous prime is 210412799. The next prime is 210412817. The reversal of 210412800 is 8214012.

It can be written as a sum of positive squares in 6 ways, for example, as 12616704 + 197796096 = 3552^2 + 14064^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748660 + ... + 748940.

Almost surely, 2^210412800 is an apocalyptic number.

210412800 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 210412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406511742).

210412800 is an abundant number, since it is smaller than the sum of its proper divisors (602610684).

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

210412800 is a wasteful number, since it uses less digits than its factorization.

210412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 210412800 is about 14505.6127068111. The cubic root of 210412800 is about 594.7814087700.

Adding to 210412800 its reverse (8214012), we get a palindrome (218626812).

The spelling of 210412800 in words is "two hundred ten million, four hundred twelve thousand, eight hundred".