406126080 has 120 divisors (see below), whose sum is σ = 1406608632. Its totient is φ = 108294144.

The previous prime is 406126067. The next prime is 406126139. The reversal of 406126080 is 80621604.

406126080 is a `hidden beast` number, since 40 + 6 + 12 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14227 + ... + 31853.

Almost surely, 2^406126080 is an apocalyptic number.

406126080 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 406126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703304316).

406126080 is an abundant number, since it is smaller than the sum of its proper divisors (1000482552).

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

406126080 is a wasteful number, since it uses less digits than its factorization.

406126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17656 (or 17637 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 406126080 is about 20152.5700594242. The cubic root of 406126080 is about 740.5487043128.

Adding to 406126080 its reverse (80621604), we get a palindrome (486747684).

The spelling of 406126080 in words is "four hundred six million, one hundred twenty-six thousand, eighty".