461607 has 8 divisors (see below), whose sum is σ = 620160. Its totient is φ = 305400.

The previous prime is 461603. The next prime is 461609. The reversal of 461607 is 706164.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 461607 - 2² = 461603 is a prime.

It is an Ulam number.

461607 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (77520).

2⁴⁶¹⁶⁰⁷ is an apocalyptic number.

461607 is a deficient number, since it is larger than the sum of its proper divisors (158553).

461607 is a wasteful number, since it uses less digits than its factorization.

461607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 461607 is about 679.4166615561. The cubic root of 461607 is about 77.2842141674.

It can be divided in two parts, 46 and 1607, that added together give a triangular number (1653 = T₅₇).

The spelling of 461607 in words is "four hundred sixty-one thousand, six hundred seven".