264364029 has 24 divisors (see below), whose sum is σ = 395871840. Its totient is φ = 169801632.

The previous prime is 264364021. The next prime is 264364033. The reversal of 264364029 is 920463462.

264364029 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 640 + 2 + 9 = 666.

It is not a de Polignac number, because 264364029 - 2³ = 264364021 is a prime.

It is a super-4 number, since 4×264364029⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 264363984 and 264364002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264364021) 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, 177522 + ... + 179004.

It is an arithmetic number, because the mean of its divisors is an integer number (16494660).

Almost surely, 2^264364029 is an apocalyptic number.

264364029 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

264364029 is a deficient number, since it is larger than the sum of its proper divisors (131507811).

264364029 is a wasteful number, since it uses less digits than its factorization.

264364029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 264364029 is about 16259.2751683462. The cubic root of 264364029 is about 641.8015880300.

The spelling of 264364029 in words is "two hundred sixty-four million, three hundred sixty-four thousand, twenty-nine".