264034001 has 24 divisors (see below), whose sum is σ = 336117600. Its totient is φ = 205094400.

The previous prime is 264033989. The next prime is 264034031. The reversal of 264034001 is 100430462.

It is a happy number.

It is not a de Polignac number, because 264034001 - 2¹⁴ = 264017617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (264034031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241466 + ... + 242556.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 2^264034001 is an apocalyptic number.

It is an amenable number.

264034001 is a deficient number, since it is larger than the sum of its proper divisors (72083599).

264034001 is a wasteful number, since it uses less digits than its factorization.

264034001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 264034001 is about 16249.1230840313. The cubic root of 264034001 is about 641.5344050631.

Adding to 264034001 its reverse (100430462), we get a palindrome (364464463).

The spelling of 264034001 in words is "two hundred sixty-four million, thirty-four thousand, one".