406679000 has 256 divisors, whose sum is σ = 1210809600. Its totient is φ = 124416000.

The previous prime is 406678997. The next prime is 406679023. The reversal of 406679000 is 976604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3730946 + ... + 3731054.

It is an arithmetic number, because the mean of its divisors is an integer number (4729725).

Almost surely, 2^406679000 is an apocalyptic number.

406679000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406679000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605404800).

406679000 is an abundant number, since it is smaller than the sum of its proper divisors (804130600).

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

406679000 is a wasteful number, since it uses less digits than its factorization.

406679000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 406679000 is about 20166.2837429210. The cubic root of 406679000 is about 740.8846250434.

The spelling of 406679000 in words is "four hundred six million, six hundred seventy-nine thousand".