212440320 has 216 divisors, whose sum is σ = 763360416. Its totient is φ = 56567808.

The previous prime is 212440301. The next prime is 212440343. The reversal of 212440320 is 23044212.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 212440293 and 212440302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310699 + ... + 311381.

It is an arithmetic number, because the mean of its divisors is an integer number (3534076).

Almost surely, 2^212440320 is an apocalyptic number.

212440320 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 212440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381680208).

212440320 is an abundant number, since it is smaller than the sum of its proper divisors (550920096).

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

212440320 is an frugal number, since it uses more digits than its factorization.

212440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 693 counting only the distinct ones).

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

The square root of 212440320 is about 14575.3325862568. The cubic root of 212440320 is about 596.6857263590.

Adding to 212440320 its reverse (23044212), we get a palindrome (235484532).

The spelling of 212440320 in words is "two hundred twelve million, four hundred forty thousand, three hundred twenty".