461007 has 12 divisors (see below), whose sum is σ = 671944. Its totient is φ = 304560.

The previous prime is 460991. The next prime is 461009. The reversal of 461007 is 700164.

It is not a de Polignac number, because 461007 - 2⁴ = 460991 is a prime.

It is a Duffinian number.

461007 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1488 + ... + 1770.

2⁴⁶¹⁰⁰⁷ is an apocalyptic number.

461007 is a deficient number, since it is larger than the sum of its proper divisors (210937).

461007 is a wasteful number, since it uses less digits than its factorization.

461007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 461007 is about 678.9749627195. The cubic root of 461007 is about 77.2507147953.

The spelling of 461007 in words is "four hundred sixty-one thousand, seven".