408616 has 16 divisors (see below), whose sum is σ = 825300. Its totient is φ = 188544.

The previous prime is 408607. The next prime is 408623. The reversal of 408616 is 616804.

It can be written as a sum of positive squares in 2 ways, for example, as 348100 + 60516 = 590^2 + 246^2 .

It is a plaindrome in base 11.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1861 + ... + 2068.

2⁴⁰⁸⁶¹⁶ is an apocalyptic number.

It is an amenable number.

408616 is an abundant number, since it is smaller than the sum of its proper divisors (416684).

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

408616 is a wasteful number, since it uses less digits than its factorization.

408616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 408616 is about 639.2307877441. The cubic root of 408616 is about 74.2059032945.

It can be divided in two parts, 408 and 616, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 408616 in words is "four hundred eight thousand, six hundred sixteen".