212576400 has 195 divisors, whose sum is σ = 766071721. Its totient is φ = 56687040.

The previous prime is 212576383. The next prime is 212576401. The reversal of 212576400 is 4675212.

The square root of 212576400 is 14580.

It is a perfect power (a square), and thus also a powerful number.

212576400 is a `hidden beast` number, since 2 + 1 + 257 + 6 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76527504 + 136048896 = 8748^2 + 11664^2 .

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

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (212576401) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 42515278 + ... + 42515282.

Almost surely, 2^212576400 is an apocalyptic number.

212576400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212576400 is the 14580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212576400

212576400 is an abundant number, since it is smaller than the sum of its proper divisors (553495321).

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

212576400 is an frugal number, since it uses more digits than its factorization.

212576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 212576400 is about 596.8131027797.

The spelling of 212576400 in words is "two hundred twelve million, five hundred seventy-six thousand, four hundred".