405416 has 32 divisors (see below), whose sum is σ = 881280. Its totient is φ = 172800.

The previous prime is 405413. The next prime is 405437. The reversal of 405416 is 614504.

It is a happy number.

405416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (405413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1361 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (27540).

2⁴⁰⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640).

405416 is an abundant number, since it is smaller than the sum of its proper divisors (475864).

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

405416 is a wasteful number, since it uses less digits than its factorization.

405416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 405416 is about 636.7228596493. The cubic root of 405416 is about 74.0116855177.

The spelling of 405416 in words is "four hundred five thousand, four hundred sixteen".