461041 has 9 divisors (see below), whose sum is σ = 541899. Its totient is φ = 391104.

The previous prime is 461017. The next prime is 461051. The reversal of 461041 is 140164.

461041 = 15² + 16² + ... + 111².

It is a happy number.

The square root of 461041 is 679.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 207025 + 254016 = 455^2 + 504^2 .

It is not a de Polignac number, because 461041 - 2⁵ = 461009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4705 + ... + 4801.

It is an arithmetic number, because the mean of its divisors is an integer number (60211).

2⁴⁶¹⁰⁴¹ is an apocalyptic number.

461041 is the 679-th square number.

461041 is the 340-th centered octagonal number.

It is an amenable number.

461041 is a deficient number, since it is larger than the sum of its proper divisors (80858).

461041 is an frugal number, since it uses more digits than its factorization.

461041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The cubic root of 461041 is about 77.2526138697.

Multiplying 461041 by its sum of digits (16), we get a square (7376656 = 2716²).

Multiplying 461041 by its product of nonzero digits (96), we get a triangular number (44259936 = T₉₄₀₈).

The spelling of 461041 in words is "four hundred sixty-one thousand, forty-one".