406282680 has 96 divisors (see below), whose sum is σ = 1323045360. Its totient is φ = 108126720.

The previous prime is 406282651. The next prime is 406282691. The reversal of 406282680 is 86282604.

406282680 is a `hidden beast` number, since 4 + 0 + 628 + 26 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273219 + ... + 274701.

Almost surely, 2^406282680 is an apocalyptic number.

406282680 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 406282680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661522680).

406282680 is an abundant number, since it is smaller than the sum of its proper divisors (916762680).

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

406282680 is a wasteful number, since it uses less digits than its factorization.

406282680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 406282680 is about 20156.4550454687. The cubic root of 406282680 is about 740.6438759276.

The spelling of 406282680 in words is "four hundred six million, two hundred eighty-two thousand, six hundred eighty".