406605888 has 126 divisors (see below), whose sum is σ = 1262311674. Its totient is φ = 125079552.

The previous prime is 406605887. The next prime is 406605923. The reversal of 406605888 is 888506604.

406605888 is a `hidden beast` number, since 4 + 0 + 6 + 60 + 588 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25887744 + 380718144 = 5088^2 + 19512^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (406605887) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 95256 + ... + 99432.

Almost surely, 2^406605888 is an apocalyptic number.

406605888 is a gapful number since it is divisible by the number (48) 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 406605888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631155837).

406605888 is an abundant number, since it is smaller than the sum of its proper divisors (855705786).

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

406605888 is a wasteful number, since it uses less digits than its factorization.

406605888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 406605888 is about 20164.4709328065. The cubic root of 406605888 is about 740.8402240924.

The spelling of 406605888 in words is "four hundred six million, six hundred five thousand, eight hundred eighty-eight".