264405225 has 36 divisors (see below), whose sum is σ = 508528464. Its totient is φ = 120869280.

The previous prime is 264405191. The next prime is 264405247. The reversal of 264405225 is 522504462.

It is a happy number.

It is not a de Polignac number, because 264405225 - 2¹⁰ = 264404201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 264405192 and 264405201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32299 + ... + 39648.

Almost surely, 2^264405225 is an apocalyptic number.

264405225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264405225 is a deficient number, since it is larger than the sum of its proper divisors (244123239).

264405225 is a wasteful number, since it uses less digits than its factorization.

264405225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71974 (or 71962 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 264405225 is about 16260.5419651376. The cubic root of 264405225 is about 641.8349237364.

Adding to 264405225 its reverse (522504462), we get a palindrome (786909687).

The spelling of 264405225 in words is "two hundred sixty-four million, four hundred five thousand, two hundred twenty-five".