359883648 has 160 divisors (see below), whose sum is σ = 1084614960. Its totient is φ = 118444032.

The previous prime is 359883607. The next prime is 359883661. The reversal of 359883648 is 846388953.

It is a happy number.

359883648 is a `hidden beast` number, since 3 + 598 + 8 + 3 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 359883594 and 359883603.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1067736 + ... + 1068072.

Almost surely, 2^359883648 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 359883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542307480).

359883648 is an abundant number, since it is smaller than the sum of its proper divisors (724731312).

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

359883648 is a wasteful number, since it uses less digits than its factorization.

359883648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 445 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 359883648 is about 18970.5995688065. The cubic root of 359883648 is about 711.3020134455.

The spelling of 359883648 in words is "three hundred fifty-nine million, eight hundred eighty-three thousand, six hundred forty-eight".