212464 has 30 divisors (see below), whose sum is σ = 480624. Its totient is φ = 90720.

The previous prime is 212461. The next prime is 212467. The reversal of 212464 is 464212.

It is an interprime number because it is at equal distance from previous prime (212461) and next prime (212467).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212461) 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 5 ways as a sum of consecutive naturals, for example, 649 + ... + 919.

2²¹²⁴⁶⁴ 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 212464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240312).

212464 is an abundant number, since it is smaller than the sum of its proper divisors (268160).

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

212464 is a wasteful number, since it uses less digits than its factorization.

212464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 212464 is about 460.9381737283. The cubic root of 212464 is about 59.6707895712.

Adding to 212464 its reverse (464212), we get a palindrome (676676).

It can be divided in two parts, 212 and 464, that added together give a palindrome (676).

The spelling of 212464 in words is "two hundred twelve thousand, four hundred sixty-four".