825296463 has 48 divisors (see below), whose sum is σ = 1251554304. Its totient is φ = 523635840.

The previous prime is 825296449. The next prime is 825296497. The reversal of 825296463 is 364692528.

825296463 is a `hidden beast` number, since 8 + 2 + 529 + 64 + 63 = 666.

It is not a de Polignac number, because 825296463 - 2⁵ = 825296431 is a prime.

It is a super-2 number, since 2×825296463² = 1362228503680620738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825296363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3700770 + ... + 3700992.

It is an arithmetic number, because the mean of its divisors is an integer number (26074048).

Almost surely, 2^825296463 is an apocalyptic number.

825296463 is a deficient number, since it is larger than the sum of its proper divisors (426257841).

825296463 is a wasteful number, since it uses less digits than its factorization.

825296463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 473 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 825296463 is about 28727.9735275567. The cubic root of 825296463 is about 938.0010573832.

The spelling of 825296463 in words is "eight hundred twenty-five million, two hundred ninety-six thousand, four hundred sixty-three".