57409 has 8 divisors (see below), whose sum is σ = 66528. Its totient is φ = 48960.

The previous prime is 57397. The next prime is 57413. The reversal of 57409 is 90475.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 57409 - 2⁹ = 56897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2⁵⁷⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

57409 is a deficient number, since it is larger than the sum of its proper divisors (9119).

57409 is a wasteful number, since it uses less digits than its factorization.

57409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 57409 is about 239.6017529151. The cubic root of 57409 is about 38.5768409676.

The spelling of 57409 in words is "fifty-seven thousand, four hundred nine".