461505 has 16 divisors (see below), whose sum is σ = 805824. Its totient is φ = 223680.

The previous prime is 461479. The next prime is 461507. The reversal of 461505 is 505164.

It is a happy number.

It is not a de Polignac number, because 461505 - 2⁶ = 461441 is a prime.

461505 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (461507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (50364).

2⁴⁶¹⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

461505 is a deficient number, since it is larger than the sum of its proper divisors (344319).

461505 is a wasteful number, since it uses less digits than its factorization.

461505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 461505 is about 679.3415930149. The cubic root of 461505 is about 77.2785213229.

Adding to 461505 its reverse (505164), we get a palindrome (966669).

It can be divided in two parts, 46 and 1505, that added together give a palindrome (1551).

The spelling of 461505 in words is "four hundred sixty-one thousand, five hundred five".