212646400 has 120 divisors (see below), whose sum is σ = 542292300. Its totient is φ = 82575360.

The previous prime is 212646373. The next prime is 212646403. The reversal of 212646400 is 4646212.

It can be written as a sum of positive squares in 6 ways, for example, as 136048896 + 76597504 = 11664^2 + 8752^2 .

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 (212646403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 473376 + ... + 473824.

Almost surely, 2^212646400 is an apocalyptic number.

212646400 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 212646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271146150).

212646400 is an abundant number, since it is smaller than the sum of its proper divisors (329645900).

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

212646400 is an equidigital number, since it uses as much as digits as its factorization.

212646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 212646400 is about 14582.4003511082. The cubic root of 212646400 is about 596.8786044573.

The spelling of 212646400 in words is "two hundred twelve million, six hundred forty-six thousand, four hundred".