406109376 has 84 divisors (see below), whose sum is σ = 1207197992. Its totient is φ = 135364608.

The previous prime is 406109351. The next prime is 406109381. The reversal of 406109376 is 673901604.

406109376 is a `hidden beast` number, since 4 + 0 + 610 + 9 + 37 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 406109376.

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, 2496 + ... + 28608.

Almost surely, 2^406109376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406109376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603598996).

406109376 is an abundant number, since it is smaller than the sum of its proper divisors (801088616).

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

406109376 is an equidigital number, since it uses as much as digits as its factorization.

406109376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26140 (or 26118 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 406109376 is about 20152.1556167076. The cubic root of 406109376 is about 740.5385512300.

The spelling of 406109376 in words is "four hundred six million, one hundred nine thousand, three hundred seventy-six".