409248 has 108 divisors (see below), whose sum is σ = 1400490. Its totient is φ = 112896.

The previous prime is 409237. The next prime is 409259. The reversal of 409248 is 842904.

It is an interprime number because it is at equal distance from previous prime (409237) and next prime (409259).

It can be written as a sum of positive squares in only one way, i.e., 345744 + 63504 = 588^2 + 252^2 .

It is a nialpdrome in base 14.

It is an unprimeable number.

409248 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 17 ways as a sum of consecutive naturals, for example, 14098 + ... + 14126.

2⁴⁰⁹²⁴⁸ is an apocalyptic number.

409248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700245).

409248 is an abundant number, since it is smaller than the sum of its proper divisors (991242).

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

409248 is a wasteful number, since it uses less digits than its factorization.

409248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 409248 is about 639.7249408926. The cubic root of 409248 is about 74.2441412920.

The spelling of 409248 in words is "four hundred nine thousand, two hundred forty-eight".