395430 has 48 divisors (see below), whose sum is σ = 1108080. Its totient is φ = 90048.

The previous prime is 395429. The next prime is 395431. The reversal of 395430 is 34593.

It is an interprime number because it is at equal distance from previous prime (395429) and next prime (395431).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 395430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2³⁹⁵⁴³⁰ is an apocalyptic number.

395430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554040).

395430 is an abundant number, since it is smaller than the sum of its proper divisors (712650).

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

395430 is a wasteful number, since it uses less digits than its factorization.

395430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 395430 is about 628.8322510813. The cubic root of 395430 is about 73.3989541189.

The spelling of 395430 in words is "three hundred ninety-five thousand, four hundred thirty".