264400049 has 2 divisors, whose sum is σ = 264400050. Its totient is φ = 264400048.

The previous prime is 264400033. The next prime is 264400057. The reversal of 264400049 is 940004462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235315600 + 29084449 = 15340^2 + 5393^2 .

It is a cyclic number.

It is not a de Polignac number, because 264400049 - 2⁴ = 264400033 is a prime.

It is a super-2 number, since 2×264400049² = 139814771822404802, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264399994 and 264400030.

It is not a weakly prime, because it can be changed into another prime (264400009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132200024 + 132200025.

It is an arithmetic number, because the mean of its divisors is an integer number (132200025).

Almost surely, 2^264400049 is an apocalyptic number.

It is an amenable number.

264400049 is a deficient number, since it is larger than the sum of its proper divisors (1).

264400049 is an equidigital number, since it uses as much as digits as its factorization.

264400049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 264400049 is about 16260.3828060719. The cubic root of 264400049 is about 641.8307355196.

The spelling of 264400049 in words is "two hundred sixty-four million, four hundred thousand, forty-nine".