405516 has 24 divisors (see below), whose sum is σ = 967680. Its totient is φ = 132112.

The previous prime is 405499. The next prime is 405521. The reversal of 405516 is 615504.

It is a happy number.

405516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 405492 and 405501.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405516.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁴⁰⁵⁵¹⁶ is an apocalyptic number.

It is an amenable number.

405516 is an abundant number, since it is smaller than the sum of its proper divisors (562164).

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

405516 is a wasteful number, since it uses less digits than its factorization.

405516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 405516 is about 636.8013819080. The cubic root of 405516 is about 74.0177702636.

The spelling of 405516 in words is "four hundred five thousand, five hundred sixteen".