406035 has 24 divisors (see below), whose sum is σ = 804960. Its totient is φ = 185472.

The previous prime is 406027. The next prime is 406037. The reversal of 406035 is 530604.

It is a happy number.

It is not a de Polignac number, because 406035 - 2³ = 406027 is a prime.

406035 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 405999 and 406017.

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 406035.

It is not an unprimeable number, because it can be changed into a prime (406037) 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, 330 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (33540).

2⁴⁰⁶⁰³⁵ is an apocalyptic number.

406035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

406035 is a deficient number, since it is larger than the sum of its proper divisors (398925).

406035 is a wasteful number, since it uses less digits than its factorization.

406035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1304 counting only the distinct ones).

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

The square root of 406035 is about 637.2087570020. The cubic root of 406035 is about 74.0493340374.

Adding to 406035 its reverse (530604), we get a palindrome (936639).

It can be divided in two parts, 4060 and 35, that added together give a triangular number (4095 = T₉₀).

The spelling of 406035 in words is "four hundred six thousand, thirty-five".