395416 has 32 divisors (see below), whose sum is σ = 887040. Its totient is φ = 161568.

The previous prime is 395407. The next prime is 395429. The reversal of 395416 is 614593.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 1135 + ... + 1441.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2³⁹⁵⁴¹⁶ 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 395416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

395416 is an abundant number, since it is smaller than the sum of its proper divisors (491624).

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

395416 is a wasteful number, since it uses less digits than its factorization.

395416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 395416 is about 628.8211192382. The cubic root of 395416 is about 73.3980878911.

The spelling of 395416 in words is "three hundred ninety-five thousand, four hundred sixteen".