409616 has 10 divisors (see below), whose sum is σ = 793662. Its totient is φ = 204800.

The previous prime is 409609. The next prime is 409639. The reversal of 409616 is 616904.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 16 = 640^2 + 4^2 .

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12785 + ... + 12816.

2⁴⁰⁹⁶¹⁶ is an apocalyptic number.

It is an amenable number.

409616 is a deficient number, since it is larger than the sum of its proper divisors (384046).

409616 is a wasteful number, since it uses less digits than its factorization.

409616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25609 (or 25603 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 409616 is about 640.0124998779. The cubic root of 409616 is about 74.2663883229.

It can be divided in two parts, 4096 and 16, that multiplied together give a 16-th power (65536 = 2¹⁶).

The spelling of 409616 in words is "four hundred nine thousand, six hundred sixteen".