406085680 has 240 divisors, whose sum is σ = 1280043072. Its totient is φ = 116582400.

The previous prime is 406085663. The next prime is 406085699. The reversal of 406085680 is 86580604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880650 + ... + 881110.

Almost surely, 2^406085680 is an apocalyptic number.

406085680 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 406085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640021536).

406085680 is an abundant number, since it is smaller than the sum of its proper divisors (873957392).

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

406085680 is a wasteful number, since it uses less digits than its factorization.

406085680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 406085680 is about 20151.5676809523. The cubic root of 406085680 is about 740.5241477681.

The spelling of 406085680 in words is "four hundred six million, eighty-five thousand, six hundred eighty".