406810 has 16 divisors (see below), whose sum is σ = 775656. Its totient is φ = 153088.

The previous prime is 406807. The next prime is 406811. The reversal of 406810 is 18604.

406810 = 51² + 52² + ... + 110².

It can be written as a sum of positive squares in 4 ways, for example, as 263169 + 143641 = 513^2 + 379^2 .

It is a super-2 number, since 2×406810² = 330988752200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1027 + ... + 1366.

2⁴⁰⁶⁸¹⁰ is an apocalyptic number.

406810 is a deficient number, since it is larger than the sum of its proper divisors (368846).

406810 is a wasteful number, since it uses less digits than its factorization.

406810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 406810 is about 637.8165880565. The cubic root of 406810 is about 74.0964168095.

The spelling of 406810 in words is "four hundred six thousand, eight hundred ten".