264606401 has 2 divisors, whose sum is σ = 264606402. Its totient is φ = 264606400.

The previous prime is 264606389. The next prime is 264606427. The reversal of 264606401 is 104606462.

264606401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196560400 + 68046001 = 14020^2 + 8249^2 .

It is a cyclic number.

It is not a de Polignac number, because 264606401 - 2¹⁰ = 264605377 is a prime.

It is not a weakly prime, because it can be changed into another prime (264606481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132303200 + 132303201.

It is an arithmetic number, because the mean of its divisors is an integer number (132303201).

Almost surely, 2^264606401 is an apocalyptic number.

It is an amenable number.

264606401 is a deficient number, since it is larger than the sum of its proper divisors (1).

264606401 is an equidigital number, since it uses as much as digits as its factorization.

264606401 is an evil number, because the sum of its binary digits is even.

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

The square root of 264606401 is about 16266.7268065828. The cubic root of 264606401 is about 641.9976651604.

The spelling of 264606401 in words is "two hundred sixty-four million, six hundred six thousand, four hundred one".