264416 has 12 divisors (see below), whose sum is σ = 520632. Its totient is φ = 132192.

The previous prime is 264403. The next prime is 264437. The reversal of 264416 is 614462.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 264391 and 264400.

It is a congruent number.

It is an unprimeable number.

264416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4100 + ... + 4163.

It is an arithmetic number, because the mean of its divisors is an integer number (43386).

2²⁶⁴⁴¹⁶ is an apocalyptic number.

It is an amenable number.

264416 is a deficient number, since it is larger than the sum of its proper divisors (256216).

264416 is an equidigital number, since it uses as much as digits as its factorization.

264416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8273 (or 8265 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 264416 is about 514.2139632488. The cubic root of 264416 is about 64.1843642270.

Adding to 264416 its reverse (614462), we get a palindrome (878878).

The spelling of 264416 in words is "two hundred sixty-four thousand, four hundred sixteen".