406820700 has 432 divisors, whose sum is σ = 1563962400. Its totient is φ = 87091200.

The previous prime is 406820677. The next prime is 406820747. The reversal of 406820700 is 7028604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3732246 + ... + 3732354.

Almost surely, 2^406820700 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 406820700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781981200).

406820700 is an abundant number, since it is smaller than the sum of its proper divisors (1157141700).

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

406820700 is a wasteful number, since it uses less digits than its factorization.

406820700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 406820700 is about 20169.7967267893. The cubic root of 406820700 is about 740.9706643689.

The spelling of 406820700 in words is "four hundred six million, eight hundred twenty thousand, seven hundred".