359842560 has 288 divisors, whose sum is σ = 1434004992. Its totient is φ = 74711040.

The previous prime is 359842559. The next prime is 359842579. The reversal of 359842560 is 65248953.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295072 + ... + 296288.

It is an arithmetic number, because the mean of its divisors is an integer number (4979184).

Almost surely, 2^359842560 is an apocalyptic number.

359842560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717002496).

359842560 is an abundant number, since it is smaller than the sum of its proper divisors (1074162432).

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

359842560 is a wasteful number, since it uses less digits than its factorization.

359842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 359842560 is about 18969.5165990069. The cubic root of 359842560 is about 711.2749425764.

The spelling of 359842560 in words is "three hundred fifty-nine million, eight hundred forty-two thousand, five hundred sixty".