461663253 has 16 divisors (see below), whose sum is σ = 706009600. Its totient is φ = 297846720.

The previous prime is 461663227. The next prime is 461663261. The reversal of 461663253 is 352366164.

461663253 is a `hidden beast` number, since 4 + 6 + 16 + 632 + 5 + 3 = 666.

It is not a de Polignac number, because 461663253 - 2⁸ = 461662997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461663353) 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 15 ways as a sum of consecutive naturals, for example, 274948 + ... + 276621.

It is an arithmetic number, because the mean of its divisors is an integer number (44125600).

Almost surely, 2^461663253 is an apocalyptic number.

It is an amenable number.

461663253 is a deficient number, since it is larger than the sum of its proper divisors (244346347).

461663253 is a wasteful number, since it uses less digits than its factorization.

461663253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551609 (or 551603 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 461663253 is about 21486.3503880952. The cubic root of 461663253 is about 772.8735341229.

The spelling of 461663253 in words is "four hundred sixty-one million, six hundred sixty-three thousand, two hundred fifty-three".