212048800 has 72 divisors (see below), whose sum is σ = 519740172. Its totient is φ = 84480000.

The previous prime is 212048791. The next prime is 212048801. The reversal of 212048800 is 8840212.

It can be written as a sum of positive squares in 6 ways, for example, as 175615504 + 36433296 = 13252^2 + 6036^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (212048801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320470 + ... + 321130.

Almost surely, 2^212048800 is an apocalyptic number.

212048800 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 212048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259870086).

212048800 is an abundant number, since it is smaller than the sum of its proper divisors (307691372).

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

212048800 is a wasteful number, since it uses less digits than its factorization.

212048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 212048800 is about 14561.8954810148. The cubic root of 212048800 is about 596.3189440441.

The spelling of 212048800 in words is "two hundred twelve million, forty-eight thousand, eight hundred".