264224001 has 16 divisors (see below), whose sum is σ = 362119680. Its totient is φ = 171304320.

The previous prime is 264223991. The next prime is 264224029. The reversal of 264224001 is 100422462.

It is not a de Polignac number, because 264224001 - 2¹⁰ = 264222977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (264224201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8176 + ... + 24398.

It is an arithmetic number, because the mean of its divisors is an integer number (22632480).

Almost surely, 2^264224001 is an apocalyptic number.

It is an amenable number.

264224001 is a deficient number, since it is larger than the sum of its proper divisors (97895679).

264224001 is a wasteful number, since it uses less digits than its factorization.

264224001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16376.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 264224001 is about 16254.9685019689. The cubic root of 264224001 is about 641.6882518029.

Adding to 264224001 its reverse (100422462), we get a palindrome (364646463).

The spelling of 264224001 in words is "two hundred sixty-four million, two hundred twenty-four thousand, one".