212284800 has 672 divisors, whose sum is σ = 967698480. Its totient is φ = 44789760.

The previous prime is 212284783. The next prime is 212284829. The reversal of 212284800 is 8482212.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×212284800² = 90129672622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16329594 + ... + 16329606.

Almost surely, 2^212284800 is an apocalyptic number.

212284800 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 212284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483849240).

212284800 is an abundant number, since it is smaller than the sum of its proper divisors (755413680).

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

212284800 is an equidigital number, since it uses as much as digits as its factorization.

212284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 212284800 is about 14569.9965682906. The cubic root of 212284800 is about 596.5400866836.

The spelling of 212284800 in words is "two hundred twelve million, two hundred eighty-four thousand, eight hundred".