212755400 has 192 divisors, whose sum is σ = 598086720. Its totient is φ = 69350400.

The previous prime is 212755399. The next prime is 212755421. The reversal of 212755400 is 4557212.

212755400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 212755400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229714 + ... + 1229886.

It is an arithmetic number, because the mean of its divisors is an integer number (3115035).

Almost surely, 2^212755400 is an apocalyptic number.

212755400 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 212755400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299043360).

212755400 is an abundant number, since it is smaller than the sum of its proper divisors (385331320).

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

212755400 is a wasteful number, since it uses less digits than its factorization.

212755400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 212755400 is about 14586.1372542562. The cubic root of 212755400 is about 596.9805713136.

The spelling of 212755400 in words is "two hundred twelve million, seven hundred fifty-five thousand, four hundred".