465552405 has 12 divisors (see below), whose sum is σ = 806957580. Its totient is φ = 248294592.

The previous prime is 465552403. The next prime is 465552433. The reversal of 465552405 is 504255564.

465552405 is a `hidden beast` number, since 4 + 65 + 552 + 40 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150773841 + 314778564 = 12279^2 + 17742^2 .

It is not a de Polignac number, because 465552405 - 2¹ = 465552403 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 465552405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465552401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5172760 + ... + 5172849.

It is an arithmetic number, because the mean of its divisors is an integer number (67246465).

Almost surely, 2^465552405 is an apocalyptic number.

465552405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465552405 is a deficient number, since it is larger than the sum of its proper divisors (341405175).

465552405 is a wasteful number, since it uses less digits than its factorization.

465552405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10345620 (or 10345617 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 465552405 is about 21576.6634352951. The cubic root of 465552405 is about 775.0377532771.

The spelling of 465552405 in words is "four hundred sixty-five million, five hundred fifty-two thousand, four hundred five".