395415 has 32 divisors (see below), whose sum is σ = 734400. Its totient is φ = 201600.

The previous prime is 395407. The next prime is 395429. The reversal of 395415 is 514593.

It is not a de Polignac number, because 395415 - 2³ = 395407 is a prime.

It is a Smith number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3865 + ... + 3965.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2³⁹⁵⁴¹⁵ is an apocalyptic number.

395415 is a deficient number, since it is larger than the sum of its proper divisors (338985).

395415 is a wasteful number, since it uses less digits than its factorization.

395415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 395415 is about 628.8203240990. The cubic root of 395415 is about 73.3980260168.

It can be divided in two parts, 3954 and 15, that added together give a square (3969 = 63²).

The spelling of 395415 in words is "three hundred ninety-five thousand, four hundred fifteen".