409761 has 12 divisors (see below), whose sum is σ = 645840. Its totient is φ = 248280.

The previous prime is 409753. The next prime is 409769. The reversal of 409761 is 167904.

It is an interprime number because it is at equal distance from previous prime (409753) and next prime (409769).

It is not a de Polignac number, because 409761 - 2³ = 409753 is a prime.

It is a Curzon number.

409761 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (409769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1971 + ... + 2168.

It is an arithmetic number, because the mean of its divisors is an integer number (53820).

2⁴⁰⁹⁷⁶¹ is an apocalyptic number.

It is an amenable number.

409761 is a deficient number, since it is larger than the sum of its proper divisors (236079).

409761 is a wasteful number, since it uses less digits than its factorization.

409761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 409761 is about 640.1257688923. The cubic root of 409761 is about 74.2751504773.

It can be divided in two parts, 40 and 9761, that added together give a square (9801 = 99²).

The spelling of 409761 in words is "four hundred nine thousand, seven hundred sixty-one".