212082400 has 72 divisors (see below), whose sum is σ = 519904224. Its totient is φ = 84480000.

The previous prime is 212082391. The next prime is 212082401. The reversal of 212082400 is 4280212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212082401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282025 + ... + 282775.

It is an arithmetic number, because the mean of its divisors is an integer number (7220892).

Almost surely, 2^212082400 is an apocalyptic number.

212082400 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 212082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259952112).

212082400 is an abundant number, since it is smaller than the sum of its proper divisors (307821824).

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

212082400 is a wasteful number, since it uses less digits than its factorization.

212082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 212082400 is about 14563.0491312774. The cubic root of 212082400 is about 596.3504387729.

The spelling of 212082400 in words is "two hundred twelve million, eighty-two thousand, four hundred".