359984880 has 60 divisors (see below), whose sum is σ = 1208951640. Its totient is φ = 95995776.

The previous prime is 359984819. The next prime is 359984881. The reversal of 359984880 is 88489953.

It is a happy number.

359984880 is a `hidden beast` number, since 3 + 599 + 8 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×359984880² = 259178227657228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359984881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249270 + ... + 250709.

It is an arithmetic number, because the mean of its divisors is an integer number (20149194).

Almost surely, 2^359984880 is an apocalyptic number.

359984880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

359984880 is an abundant number, since it is smaller than the sum of its proper divisors (848966760).

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

359984880 is a wasteful number, since it uses less digits than its factorization.

359984880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499998 (or 499989 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 359984880 is about 18973.2675098413. The cubic root of 359984880 is about 711.3687014573.

The spelling of 359984880 in words is "three hundred fifty-nine million, nine hundred eighty-four thousand, eight hundred eighty".