4208444406 has 48 divisors (see below), whose sum is σ = 9638553600. Its totient is φ = 1323396144.

The previous prime is 4208444393. The next prime is 4208444407. The reversal of 4208444406 is 6044448024.

4208444406 is a `hidden beast` number, since 4 + 208 + 4 + 4 + 440 + 6 = 666.

It is a super-2 number, since 2×4208444406² = 35422008636785385672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4208444407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55995 + ... + 107481.

It is an arithmetic number, because the mean of its divisors is an integer number (200803200).

Almost surely, 2^4208444406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4208444406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819276800).

4208444406 is an abundant number, since it is smaller than the sum of its proper divisors (5430109194).

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

4208444406 is a wasteful number, since it uses less digits than its factorization.

4208444406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51753 (or 51750 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 4208444406 is about 64872.5242764608. The cubic root of 4208444406 is about 1614.5092274328.

The spelling of 4208444406 in words is "four billion, two hundred eight million, four hundred forty-four thousand, four hundred six".