463197825 has 48 divisors (see below), whose sum is σ = 854409600. Its totient is φ = 246024000.

The previous prime is 463197811. The next prime is 463197841. The reversal of 463197825 is 528791364.

463197825 is a `hidden beast` number, since 4 + 631 + 9 + 7 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 463197825 - 2⁴ = 463197809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180300 + ... + 182850.

It is an arithmetic number, because the mean of its divisors is an integer number (17800200).

Almost surely, 2^463197825 is an apocalyptic number.

463197825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

463197825 is a deficient number, since it is larger than the sum of its proper divisors (391211775).

463197825 is a wasteful number, since it uses less digits than its factorization.

463197825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2828 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 463197825 is about 21522.0311541453. The cubic root of 463197825 is about 773.7289327817.

The spelling of 463197825 in words is "four hundred sixty-three million, one hundred ninety-seven thousand, eight hundred twenty-five".