461288 has 24 divisors (see below), whose sum is σ = 912450. Its totient is φ = 218592.

The previous prime is 461273. The next prime is 461297. The reversal of 461288 is 882164.

It can be written as a sum of positive squares in only one way, i.e., 357604 + 103684 = 598^2 + 322^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 461288.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4178 + ... + 4286.

2⁴⁶¹²⁸⁸ is an apocalyptic number.

It is an amenable number.

461288 is a deficient number, since it is larger than the sum of its proper divisors (451162).

461288 is a wasteful number, since it uses less digits than its factorization.

461288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 461288 is about 679.1818607707. The cubic root of 461288 is about 77.2664072843.

The spelling of 461288 in words is "four hundred sixty-one thousand, two hundred eighty-eight".