5406455808 has 480 divisors, whose sum is σ = 18313495200. Its totient is φ = 1576599552.

The previous prime is 5406455777. The next prime is 5406455837. The reversal of 5406455808 is 8085546045.

5406455808 is a `hidden beast` number, since 5 + 4 + 0 + 64 + 5 + 580 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49600458 + ... + 49600566.

It is an arithmetic number, because the mean of its divisors is an integer number (38153115).

Almost surely, 2^5406455808 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 5406455808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156747600).

5406455808 is an abundant number, since it is smaller than the sum of its proper divisors (12907039392).

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

5406455808 is a wasteful number, since it uses less digits than its factorization.

5406455808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 5406455808 is about 73528.6053723311. The cubic root of 5406455808 is about 1755.1095088362.

The spelling of 5406455808 in words is "five billion, four hundred six million, four hundred fifty-five thousand, eight hundred eight".