461504 has 14 divisors (see below), whose sum is σ = 915924. Its totient is φ = 230720.

The previous prime is 461479. The next prime is 461507. The reversal of 461504 is 405164.

It is a happy number.

461504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3542 + ... + 3669.

2⁴⁶¹⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

461504 is a deficient number, since it is larger than the sum of its proper divisors (454420).

461504 is an equidigital number, since it uses as much as digits as its factorization.

461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7223 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 461504 is about 679.3408570077. The cubic root of 461504 is about 77.2784655066.

Adding to 461504 its reverse (405164), we get a palindrome (866668).

It can be divided in two parts, 4 and 61504, that multiplied together give a square (246016 = 496²).

The spelling of 461504 in words is "four hundred sixty-one thousand, five hundred four".