406980000 has 720 divisors, whose sum is σ = 1842160320. Its totient is φ = 82944000.

The previous prime is 406979933. The next prime is 406980011. The reversal of 406980000 is 89604.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21419991 + ... + 21420009.

It is an arithmetic number, because the mean of its divisors is an integer number (2558556).

Almost surely, 2^406980000 is an apocalyptic number.

406980000 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 406980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921080160).

406980000 is an abundant number, since it is smaller than the sum of its proper divisors (1435180320).

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

406980000 is a wasteful number, since it uses less digits than its factorization.

406980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 406980000 is about 20173.7453141453. The cubic root of 406980000 is about 741.0673664488.

The spelling of 406980000 in words is "four hundred six million, nine hundred eighty thousand".