463325625 has 135 divisors (see below), whose sum is σ = 997136283. Its totient is φ = 206640000.

The previous prime is 463325587. The next prime is 463325627. The reversal of 463325625 is 526523364.

The square root of 463325625 is 21525.

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

463325625 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 25 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 461519289 + 1806336 = 21483^2 + 1344^2 .

It is not a de Polignac number, because 463325625 - 2⁹ = 463325113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 463325625.

It is not an unprimeable number, because it can be changed into a prime (463325627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11300605 + ... + 11300645.

Almost surely, 2^463325625 is an apocalyptic number.

463325625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

463325625 is the 21525-th square number.

463325625 is the 10763-rd centered octagonal number.

It is an amenable number.

463325625 is an abundant number, since it is smaller than the sum of its proper divisors (533810658).

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

463325625 is an equidigital number, since it uses as much as digits as its factorization.

463325625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 56 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The cubic root of 463325625 is about 773.8000855804.

Multiplying 463325625 by its sum of digits (36), we get a square (16679722500 = 129150²).

Multiplying 463325625 by its product of digits (129600), we get a square (60047001000000 = 7749000²).

Adding to 463325625 its reverse (526523364), we get a palindrome (989848989).

The spelling of 463325625 in words is "four hundred sixty-three million, three hundred twenty-five thousand, six hundred twenty-five".