212404320 has 72 divisors (see below), whose sum is σ = 724834656. Its totient is φ = 56640768.

The previous prime is 212404303. The next prime is 212404349. The reversal of 212404320 is 23404212.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212404293 and 212404302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72312 + ... + 75191.

It is an arithmetic number, because the mean of its divisors is an integer number (10067148).

Almost surely, 2^212404320 is an apocalyptic number.

212404320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212404320 is an abundant number, since it is smaller than the sum of its proper divisors (512430336).

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

212404320 is a wasteful number, since it uses less digits than its factorization.

212404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147524 (or 147513 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212404320 is about 14574.0975706903. The cubic root of 212404320 is about 596.6520197952.

Adding to 212404320 its reverse (23404212), we get a palindrome (235808532).

The spelling of 212404320 in words is "two hundred twelve million, four hundred four thousand, three hundred twenty".