409849 has 16 divisors (see below), whose sum is σ = 492480. Its totient is φ = 336960.

The previous prime is 409841. The next prime is 409861. The reversal of 409849 is 948904.

409849 = 188² + 189² + ... + 198².

It is a cyclic number.

It is not a de Polignac number, because 409849 - 2³ = 409841 is a prime.

409849 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (409841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7707 + ... + 7759.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2⁴⁰⁹⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

409849 is a deficient number, since it is larger than the sum of its proper divisors (82631).

409849 is a wasteful number, since it uses less digits than its factorization.

409849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 409849 is about 640.1945016946. The cubic root of 409849 is about 74.2804671907.

It can be divided in two parts, 40 and 9849, that added together give a palindrome (9889).

The spelling of 409849 in words is "four hundred nine thousand, eight hundred forty-nine".