395460 has 72 divisors (see below), whose sum is σ = 1299480. Its totient is φ = 97344.

The previous prime is 395459. The next prime is 395491. The reversal of 395460 is 64593.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 248004 = 384^2 + 498^2 .

It is a super-2 number, since 2×395460² = 312777223200, which contains 22 as substring.

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 an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30414 + ... + 30426.

2³⁹⁵⁴⁶⁰ is an apocalyptic number.

395460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649740).

395460 is an abundant number, since it is smaller than the sum of its proper divisors (904020).

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

395460 is a wasteful number, since it uses less digits than its factorization.

395460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 395460 is about 628.8561043673. The cubic root of 395460 is about 73.4008102527.

The spelling of 395460 in words is "three hundred ninety-five thousand, four hundred sixty".