409648 has 10 divisors (see below), whose sum is σ = 793724. Its totient is φ = 204816.

The previous prime is 409639. The next prime is 409657. The reversal of 409648 is 846904.

It is an interprime number because it is at equal distance from previous prime (409639) and next prime (409657).

It is a super-2 number, since 2×409648² = 335622967808, which contains 22 as substring.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 12786 + ... + 12817.

2⁴⁰⁹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

409648 is a deficient number, since it is larger than the sum of its proper divisors (384076).

409648 is a wasteful number, since it uses less digits than its factorization.

409648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25611 (or 25605 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 409648 is about 640.0374989014. The cubic root of 409648 is about 74.2683222175.

The spelling of 409648 in words is "four hundred nine thousand, six hundred forty-eight".