406044808 has 48 divisors (see below), whose sum is σ = 846788580. Its totient is φ = 182317824.

The previous prime is 406044791. The next prime is 406044809. The reversal of 406044808 is 808440604.

It can be written as a sum of positive squares in 6 ways, for example, as 232806564 + 173238244 = 15258^2 + 13162^2 .

It is a super-2 number, since 2×406044808² = 329744772207513728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406044809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45966 + ... + 54082.

Almost surely, 2^406044808 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 406044808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423394290).

406044808 is an abundant number, since it is smaller than the sum of its proper divisors (440743772).

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

406044808 is a wasteful number, since it uses less digits than its factorization.

406044808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8186 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 406044808 is about 20150.5535407839. The cubic root of 406044808 is about 740.4993026677.

The spelling of 406044808 in words is "four hundred six million, forty-four thousand, eight hundred eight".