395010 has 128 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 77760.

The previous prime is 394993. The next prime is 395023. The reversal of 395010 is 10593.

395010 = 105² + 106² + ... + 132².

395010 is a nontrivial binomial coefficient, being equal to C(57, 4).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20781 + ... + 20799.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2³⁹⁵⁰¹⁰ is an apocalyptic number.

395010 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 395010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

395010 is an abundant number, since it is smaller than the sum of its proper divisors (987390).

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

395010 is a wasteful number, since it uses less digits than its factorization.

395010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 395010 is about 628.4982100213. The cubic root of 395010 is about 73.3729583831.

395010 divided by its sum of digits (18) gives a triangular number (21945 = T₂₀₉).

395010 divided by its product of nonzero digits (135) gives a triangular number (2926 = T₇₆).

The spelling of 395010 in words is "three hundred ninety-five thousand, ten".