406350 has 96 divisors (see below), whose sum is σ = 1309440. Its totient is φ = 90720.

The previous prime is 406349. The next prime is 406361. The reversal of 406350 is 53604.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 9429 + ... + 9471.

It is an arithmetic number, because the mean of its divisors is an integer number (13640).

2⁴⁰⁶³⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720).

406350 is an abundant number, since it is smaller than the sum of its proper divisors (903090).

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

406350 is a wasteful number, since it uses less digits than its factorization.

406350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 406350 is about 637.4558808263. The cubic root of 406350 is about 74.0684781266.

Adding to 406350 its reverse (53604), we get a palindrome (459954).

The spelling of 406350 in words is "four hundred six thousand, three hundred fifty".