359804160 has 288 divisors, whose sum is σ = 1324512000. Its totient is φ = 92381184.

The previous prime is 359804147. The next prime is 359804161. The reversal of 359804160 is 61408953.

359804160 is a `hidden beast` number, since 3 + 598 + 0 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359804161) by changing a digit.

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, 1002061 + ... + 1002419.

It is an arithmetic number, because the mean of its divisors is an integer number (4599000).

Almost surely, 2^359804160 is an apocalyptic number.

359804160 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 359804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662256000).

359804160 is an abundant number, since it is smaller than the sum of its proper divisors (964707840).

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

359804160 is a wasteful number, since it uses less digits than its factorization.

359804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 359804160 is about 18968.5044218041. The cubic root of 359804160 is about 711.2496408357.

The spelling of 359804160 in words is "three hundred fifty-nine million, eight hundred four thousand, one hundred sixty".