212978304 has 288 divisors, whose sum is σ = 780006240. Its totient is φ = 55319040.

The previous prime is 212978287. The next prime is 212978333. The reversal of 212978304 is 403879212.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 19361659 + ... + 19361669.

It is an arithmetic number, because the mean of its divisors is an integer number (2708355).

Almost surely, 2^212978304 is an apocalyptic number.

212978304 is a gapful number since it is divisible by the number (24) 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 212978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390003120).

212978304 is an abundant number, since it is smaller than the sum of its proper divisors (567027936).

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

212978304 is an frugal number, since it uses more digits than its factorization.

212978304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 212978304 is about 14593.7762076852. The cubic root of 212978304 is about 597.1889842172.

The spelling of 212978304 in words is "two hundred twelve million, nine hundred seventy-eight thousand, three hundred four".