409264 has 10 divisors (see below), whose sum is σ = 792980. Its totient is φ = 204624.

The previous prime is 409261. The next prime is 409267. The reversal of 409264 is 462904.

It is an interprime number because it is at equal distance from previous prime (409261) and next prime (409267).

It is not an unprimeable number, because it can be changed into a prime (409261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12774 + ... + 12805.

It is an arithmetic number, because the mean of its divisors is an integer number (79298).

2⁴⁰⁹²⁶⁴ is an apocalyptic number.

It is an amenable number.

409264 is a deficient number, since it is larger than the sum of its proper divisors (383716).

409264 is a wasteful number, since it uses less digits than its factorization.

409264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25587 (or 25581 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 409264 is about 639.7374461449. The cubic root of 409264 is about 74.2451088314.

The spelling of 409264 in words is "four hundred nine thousand, two hundred sixty-four".