402305 has 8 divisors (see below), whose sum is σ = 511272. Its totient is φ = 302848.

The previous prime is 402299. The next prime is 402307. The reversal of 402305 is 503204.

402305 = T₂₀₉ + T₂₁₀ + ... + T₂₂₅.

402305 = 448² + 449².

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 368449 = 184^2 + 607^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 402305 - 2⁸ = 402049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 402305.

It is not an unprimeable number, because it can be changed into a prime (402307) 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 7 ways as a sum of consecutive naturals, for example, 2282 + ... + 2451.

It is an arithmetic number, because the mean of its divisors is an integer number (63909).

2⁴⁰²³⁰⁵ is an apocalyptic number.

402305 is the 449-th centered square number.

It is an amenable number.

402305 is a deficient number, since it is larger than the sum of its proper divisors (108967).

402305 is a wasteful number, since it uses less digits than its factorization.

402305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755.

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 402305 is about 634.2751768751. The cubic root of 402305 is about 73.8218871978.

Adding to 402305 its reverse (503204), we get a palindrome (905509).

It can be divided in two parts, 402 and 305, that added together give a palindrome (707).

The spelling of 402305 in words is "four hundred two thousand, three hundred five".