461463507 has 32 divisors (see below), whose sum is σ = 721164800. Its totient is φ = 290830176.

The previous prime is 461463493. The next prime is 461463523. The reversal of 461463507 is 705364164.

It is a happy number.

461463507 is a `hidden beast` number, since 4 + 6 + 14 + 635 + 0 + 7 = 666.

It is not a de Polignac number, because 461463507 - 2¹⁴ = 461447123 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461463307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421653 + ... + 422745.

It is an arithmetic number, because the mean of its divisors is an integer number (22536400).

Almost surely, 2^461463507 is an apocalyptic number.

461463507 is a deficient number, since it is larger than the sum of its proper divisors (259701293).

461463507 is a wasteful number, since it uses less digits than its factorization.

461463507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 461463507 is about 21481.7016784053. The cubic root of 461463507 is about 772.7620526726.

It can be divided in two parts, 4614 and 63507, that added together give a square (68121 = 261²).

The spelling of 461463507 in words is "four hundred sixty-one million, four hundred sixty-three thousand, five hundred seven".