5434406208 has 672 divisors, whose sum is σ = 20755660800. Its totient is φ = 1364014080.

The previous prime is 5434406203. The next prime is 5434406209. The reversal of 5434406208 is 8026044345.

5434406208 is a `hidden beast` number, since 5 + 4 + 3 + 440 + 6 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434406203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68789913 + ... + 68789991.

It is an arithmetic number, because the mean of its divisors is an integer number (30886400).

Almost surely, 2^5434406208 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 5434406208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377830400).

5434406208 is an abundant number, since it is smaller than the sum of its proper divisors (15321254592).

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

5434406208 is a wasteful number, since it uses less digits than its factorization.

5434406208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 5434406208 is about 73718.4251595217. The cubic root of 5434406208 is about 1758.1288447076.

The spelling of 5434406208 in words is "five billion, four hundred thirty-four million, four hundred six thousand, two hundred eight".