465376374225 has 243 divisors, whose sum is σ = 994263739443. Its totient is φ = 207471559680.

The previous prime is 465376374187. The next prime is 465376374227. The reversal of 465376374225 is 522473673564.

The square root of 465376374225 is 682185.

It is a perfect power (a square), and thus also a powerful number.

465376374225 is a `hidden beast` number, since 4 + 6 + 537 + 63 + 7 + 42 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 401490778689 + 63885595536 = 633633^2 + 252756^2 .

It is not a de Polignac number, because 465376374225 - 2¹⁷ = 465376243153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (465376374227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5228947981 + ... + 5228948069.

Almost surely, 2^465376374225 is an apocalyptic number.

465376374225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

465376374225 is the 682185-th square number.

465376374225 is the 341093-rd centered octagonal number.

It is an amenable number.

465376374225 is an abundant number, since it is smaller than the sum of its proper divisors (528887365218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

465376374225 is an equidigital number, since it uses as much as digits as its factorization.

465376374225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 465376374225 in words is "four hundred sixty-five billion, three hundred seventy-six million, three hundred seventy-four thousand, two hundred twenty-five".