157409 has 8 divisors (see below), whose sum is σ = 182400. Its totient is φ = 133056.

The previous prime is 157393. The next prime is 157411. The reversal of 157409 is 904751.

157409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 157409 - 2⁴ = 157393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 692 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (22800).

2¹⁵⁷⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

157409 is a deficient number, since it is larger than the sum of its proper divisors (24991).

157409 is a wasteful number, since it uses less digits than its factorization.

157409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 157409 is about 396.7480308710. The cubic root of 157409 is about 53.9937121165.

The spelling of 157409 in words is "one hundred fifty-seven thousand, four hundred nine".