403461 has 20 divisors (see below), whose sum is σ = 640332. Its totient is φ = 252288.

The previous prime is 403439. The next prime is 403483. The reversal of 403461 is 164304.

It is an interprime number because it is at equal distance from previous prime (403439) and next prime (403483).

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 50625 = 594^2 + 225^2 .

It is not a de Polignac number, because 403461 - 2⁹ = 402949 is a prime.

403461 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403061) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1231 + ... + 1523.

2⁴⁰³⁴⁶¹ is an apocalyptic number.

It is an amenable number.

403461 is a deficient number, since it is larger than the sum of its proper divisors (236871).

403461 is a wasteful number, since it uses less digits than its factorization.

403461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 403461 is about 635.1857995894. The cubic root of 403461 is about 73.8925272128.

Adding to 403461 its reverse (164304), we get a palindrome (567765).

It can be divided in two parts, 4034 and 61, that added together give a triangular number (4095 = T₉₀).

The spelling of 403461 in words is "four hundred three thousand, four hundred sixty-one".