461206627 has 32 divisors (see below), whose sum is σ = 571635200. Its totient is φ = 363356928.

The previous prime is 461206621. The next prime is 461206631. The reversal of 461206627 is 726602164.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-461206627 is a prime.

It is a super-3 number, since 3×461206627³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 461206592 and 461206601.

It is not an unprimeable number, because it can be changed into a prime (461206621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650149 + ... + 650857.

It is an arithmetic number, because the mean of its divisors is an integer number (17863600).

Almost surely, 2^461206627 is an apocalyptic number.

461206627 is a deficient number, since it is larger than the sum of its proper divisors (110428573).

461206627 is a wasteful number, since it uses less digits than its factorization.

461206627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 461206627 is about 21475.7218039348. The cubic root of 461206627 is about 772.6186365206.

The spelling of 461206627 in words is "four hundred sixty-one million, two hundred six thousand, six hundred twenty-seven".