359885820 has 192 divisors, whose sum is σ = 1203535872. Its totient is φ = 78624000.

The previous prime is 359885803. The next prime is 359885849. The reversal of 359885820 is 28588953.

359885820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 359885820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1705515 + ... + 1705725.

It is an arithmetic number, because the mean of its divisors is an integer number (6268416).

Almost surely, 2^359885820 is an apocalyptic number.

359885820 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 359885820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601767936).

359885820 is an abundant number, since it is smaller than the sum of its proper divisors (843650052).

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

359885820 is a wasteful number, since it uses less digits than its factorization.

359885820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The square root of 359885820 is about 18970.6568151975. The cubic root of 359885820 is about 711.3034444125.

The spelling of 359885820 in words is "three hundred fifty-nine million, eight hundred eighty-five thousand, eight hundred twenty".