409152 has 28 divisors (see below), whose sum is σ = 1083056. Its totient is φ = 136320.

The previous prime is 409121. The next prime is 409153. The reversal of 409152 is 251904.

It is not an unprimeable number, because it can be changed into a prime (409153) by changing a digit.

409152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 874 + ... + 1257.

2⁴⁰⁹¹⁵² is an apocalyptic number.

It is an amenable number.

409152 is an abundant number, since it is smaller than the sum of its proper divisors (673904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409152 is a wasteful number, since it uses less digits than its factorization.

409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 409152 is about 639.6499042445. The cubic root of 409152 is about 74.2383355255.

It can be divided in two parts, 409 and 152, that added together give a triangular number (561 = T₃₃).

The spelling of 409152 in words is "four hundred nine thousand, one hundred fifty-two".