359012808 has 324 divisors, whose sum is σ = 1287594945. Its totient is φ = 90034560.

The previous prime is 359012807. The next prime is 359012833. The reversal of 359012808 is 808210953.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 358799364 + 213444 = 18942^2 + 462^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13398.

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

It is not an unprimeable number, because it can be changed into a prime (359012807) 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 80 ways as a sum of consecutive naturals, for example, 12379738 + ... + 12379766.

Almost surely, 2^359012808 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 359012808

359012808 is an abundant number, since it is smaller than the sum of its proper divisors (928582137).

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

359012808 is a wasteful number, since it uses less digits than its factorization.

359012808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 359012808 is about 18947.6333086747. The cubic root of 359012808 is about 710.7278181000.

The spelling of 359012808 in words is "three hundred fifty-nine million, twelve thousand, eight hundred eight".