608133456 has 240 divisors, whose sum is σ = 2072903040. Its totient is φ = 162570240.

The previous prime is 608133431. The next prime is 608133457. The reversal of 608133456 is 654331806.

608133456 is a `hidden beast` number, since 608 + 1 + 3 + 3 + 45 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 608133456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (608133457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2164036 + ... + 2164316.

It is an arithmetic number, because the mean of its divisors is an integer number (8637096).

Almost surely, 2^608133456 is an apocalyptic number.

608133456 is the 14238-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 608133456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036451520).

608133456 is an abundant number, since it is smaller than the sum of its proper divisors (1464769584).

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

608133456 is a wasteful number, since it uses less digits than its factorization.

608133456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 608133456 is about 24660.3620411380. The cubic root of 608133456 is about 847.2266965348.

The spelling of 608133456 in words is "six hundred eight million, one hundred thirty-three thousand, four hundred fifty-six".