461348307 has 24 divisors (see below), whose sum is σ = 774082400. Its totient is φ = 259303680.

The previous prime is 461348299. The next prime is 461348309. The reversal of 461348307 is 703843164.

461348307 is a `hidden beast` number, since 4 + 6 + 1 + 348 + 307 = 666.

It is not a de Polignac number, because 461348307 - 2³ = 461348299 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (461348309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56182 + ... + 63867.

Almost surely, 2^461348307 is an apocalyptic number.

461348307 is a deficient number, since it is larger than the sum of its proper divisors (312734093).

461348307 is a wasteful number, since it uses less digits than its factorization.

461348307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120123 (or 120120 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 461348307 is about 21479.0201592158. The cubic root of 461348307 is about 772.6977430750.

The spelling of 461348307 in words is "four hundred sixty-one million, three hundred forty-eight thousand, three hundred seven".