452693480625 has 45 divisors (see below), whose sum is σ = 817192765389. Its totient is φ = 241409610000.

The previous prime is 452693480611. The next prime is 452693480633. The reversal of 452693480625 is 526084396254.

The square root of 452693480625 is 672825.

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

452693480625 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 9 + 3 + 4 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35491168881 + 417202311744 = 188391^2 + 645912^2 .

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

It is not a de Polignac number, because 452693480625 - 2¹³ = 452693472433 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, 50457390 + ... + 50466360.

Almost surely, 2^452693480625 is an apocalyptic number.

452693480625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

452693480625 is the 672825-th square number.

452693480625 is the 336413-rd centered octagonal number.

It is an amenable number.

452693480625 is a deficient number, since it is larger than the sum of its proper divisors (364499284764).

452693480625 is an frugal number, since it uses more digits than its factorization.

452693480625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17968 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 452693480625 in words is "four hundred fifty-two billion, six hundred ninety-three million, four hundred eighty thousand, six hundred twenty-five".