406700 has 54 divisors (see below), whose sum is σ = 1038996. Its totient is φ = 137760.

The previous prime is 406699. The next prime is 406717. The reversal of 406700 is 7604.

406700 = 66² + 67² + ... + 114².

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4859 + ... + 4941.

2⁴⁰⁶⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519498).

406700 is an abundant number, since it is smaller than the sum of its proper divisors (632296).

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

406700 is a wasteful number, since it uses less digits than its factorization.

406700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 406700 is about 637.7303505401. The cubic root of 406700 is about 74.0897377369.

The spelling of 406700 in words is "four hundred six thousand, seven hundred".