362406 has 48 divisors (see below), whose sum is σ = 884160. Its totient is φ = 97920.

The previous prime is 362393. The next prime is 362407. The reversal of 362406 is 604263.

362406 = 129² + 130² + ... + 147².

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362406.

It is not an unprimeable number, because it can be changed into a prime (362407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19065 + ... + 19083.

It is an arithmetic number, because the mean of its divisors is an integer number (18420).

2³⁶²⁴⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442080).

362406 is an abundant number, since it is smaller than the sum of its proper divisors (521754).

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

362406 is a wasteful number, since it uses less digits than its factorization.

362406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 362406 is about 602.0016611273. The cubic root of 362406 is about 71.2959936953.

Adding to 362406 its reverse (604263), we get a palindrome (966669).

It can be divided in two parts, 36 and 2406, that added together give a palindrome (2442).

The spelling of 362406 in words is "three hundred sixty-two thousand, four hundred six".