463505121 has 24 divisors (see below), whose sum is σ = 683579520. Its totient is φ = 302551200.

The previous prime is 463505101. The next prime is 463505167. The reversal of 463505121 is 121505364.

463505121 is a `hidden beast` number, since 4 + 635 + 0 + 5 + 1 + 21 = 666.

It is not a de Polignac number, because 463505121 - 2²⁶ = 396396257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (463505101) 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 23 ways as a sum of consecutive naturals, for example, 142291 + ... + 145511.

It is an arithmetic number, because the mean of its divisors is an integer number (28482480).

Almost surely, 2^463505121 is an apocalyptic number.

It is an amenable number.

463505121 is a deficient number, since it is larger than the sum of its proper divisors (220074399).

463505121 is a wasteful number, since it uses less digits than its factorization.

463505121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 463505121 is about 21529.1690736080. The cubic root of 463505121 is about 773.8999980971.

The spelling of 463505121 in words is "four hundred sixty-three million, five hundred five thousand, one hundred twenty-one".