212720464 has 60 divisors (see below), whose sum is σ = 461488320. Its totient is φ = 94201600.

The previous prime is 212720393. The next prime is 212720471. The reversal of 212720464 is 464027212.

It is a happy number.

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, 295497 + ... + 296215.

It is an arithmetic number, because the mean of its divisors is an integer number (7691472).

Almost surely, 2^212720464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212720464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230744160).

212720464 is an abundant number, since it is smaller than the sum of its proper divisors (248767856).

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

212720464 is a wasteful number, since it uses less digits than its factorization.

212720464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 212720464 is about 14584.9396296317. The cubic root of 212720464 is about 596.9478933261.

Adding to 212720464 its reverse (464027212), we get a palindrome (676747676).

The spelling of 212720464 in words is "two hundred twelve million, seven hundred twenty thousand, four hundred sixty-four".