359862144 has 64 divisors (see below), whose sum is σ = 961586640. Its totient is φ = 119238656.

The previous prime is 359862077. The next prime is 359862149. The reversal of 359862144 is 441268953.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 359862096 and 359862105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359862149) 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 7 ways as a sum of consecutive naturals, for example, 63724 + ... + 69140.

Almost surely, 2^359862144 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 359862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480793320).

359862144 is an abundant number, since it is smaller than the sum of its proper divisors (601724496).

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

359862144 is a wasteful number, since it uses less digits than its factorization.

359862144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607 (or 5595 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 359862144 is about 18970.0327885853. The cubic root of 359862144 is about 711.2878457710.

The spelling of 359862144 in words is "three hundred fifty-nine million, eight hundred sixty-two thousand, one hundred forty-four".