406087128 has 64 divisors (see below), whose sum is σ = 1141660800. Its totient is φ = 133725600.

The previous prime is 406087117. The next prime is 406087181. The reversal of 406087128 is 821780604.

406087128 is a `hidden beast` number, since 40 + 608 + 7 + 1 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 406087092 and 406087101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6603 + ... + 29253.

It is an arithmetic number, because the mean of its divisors is an integer number (17838450).

Almost surely, 2^406087128 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 406087128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570830400).

406087128 is an abundant number, since it is smaller than the sum of its proper divisors (735573672).

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

406087128 is a wasteful number, since it uses less digits than its factorization.

406087128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22749 (or 22739 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 406087128 is about 20151.6036086461. The cubic root of 406087128 is about 740.5250279417.

The spelling of 406087128 in words is "four hundred six million, eighty-seven thousand, one hundred twenty-eight".