461407 has 2 divisors, whose sum is σ = 461408. Its totient is φ = 461406.

The previous prime is 461393. The next prime is 461411. The reversal of 461407 is 704164.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 461407 - 2¹⁵ = 428639 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230703 + 230704.

It is an arithmetic number, because the mean of its divisors is an integer number (230704).

2⁴⁶¹⁴⁰⁷ is an apocalyptic number.

461407 is a deficient number, since it is larger than the sum of its proper divisors (1).

461407 is an equidigital number, since it uses as much as digits as its factorization.

461407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 461407 is about 679.2694605236. The cubic root of 461407 is about 77.2730509371.

It can be divided in two parts, 461 and 407, that added together give a palindrome (868).

The spelling of 461407 in words is "four hundred sixty-one thousand, four hundred seven".