213346464 has 96 divisors (see below), whose sum is σ = 612251136. Its totient is φ = 64757760.

The previous prime is 213346453. The next prime is 213346499. The reversal of 213346464 is 464643312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48484 + ... + 52700.

It is an arithmetic number, because the mean of its divisors is an integer number (6377616).

Almost surely, 2^213346464 is an apocalyptic number.

213346464 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 213346464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306125568).

213346464 is an abundant number, since it is smaller than the sum of its proper divisors (398904672).

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

213346464 is a wasteful number, since it uses less digits than its factorization.

213346464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4270 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 213346464 is about 14606.3843575335. The cubic root of 213346464 is about 597.5328917544.

Adding to 213346464 its reverse (464643312), we get a palindrome (677989776).

The spelling of 213346464 in words is "two hundred thirteen million, three hundred forty-six thousand, four hundred sixty-four".