465264405 has 40 divisors (see below), whose sum is σ = 845508312. Its totient is φ = 244726272.

The previous prime is 465264389. The next prime is 465264409. The reversal of 465264405 is 504462564.

465264405 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 644 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146748996 + 318515409 = 12114^2 + 17847^2 .

It is not a de Polignac number, because 465264405 - 2⁴ = 465264389 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 465264405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465264409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21697 + ... + 37433.

Almost surely, 2^465264405 is an apocalyptic number.

465264405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465264405 is a deficient number, since it is larger than the sum of its proper divisors (380243907).

465264405 is a wasteful number, since it uses less digits than its factorization.

465264405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15827 (or 15818 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 465264405 is about 21569.9885257271. The cubic root of 465264405 is about 774.8779023745.

The spelling of 465264405 in words is "four hundred sixty-five million, two hundred sixty-four thousand, four hundred five".