445976874225 has 45 divisors (see below), whose sum is σ = 802597916315. Its totient is φ = 236727061200.

The previous prime is 445976874199. The next prime is 445976874253. The reversal of 445976874225 is 522478679544.

The square root of 445976874225 is 667815.

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

445976874225 is a `hidden beast` number, since 4 + 45 + 97 + 6 + 87 + 422 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 160551674721 + 285425199504 = 400689^2 + 534252^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 445976874225 - 2³⁷ = 308537920753 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2113634370 + ... + 2113634580.

Almost surely, 2^445976874225 is an apocalyptic number.

445976874225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

445976874225 is the 667815-th square number.

445976874225 is the 333908-th centered octagonal number.

It is an amenable number.

445976874225 is a deficient number, since it is larger than the sum of its proper divisors (356621042090).

445976874225 is an frugal number, since it uses more digits than its factorization.

445976874225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 219 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

It can be divided in two parts, 445976 and 874225, that added together give a square (1320201 = 1149²).

The spelling of 445976874225 in words is "four hundred forty-five billion, nine hundred seventy-six million, eight hundred seventy-four thousand, two hundred twenty-five".