359941920 has 192 divisors, whose sum is σ = 1254839040. Its totient is φ = 86151168.

The previous prime is 359941919. The next prime is 359941931. The reversal of 359941920 is 29149953.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230101 + ... + 231659.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2^359941920 is an apocalyptic number.

359941920 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 359941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

359941920 is an abundant number, since it is smaller than the sum of its proper divisors (894897120).

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

359941920 is a wasteful number, since it uses less digits than its factorization.

359941920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 359941920 is about 18972.1353568859. The cubic root of 359941920 is about 711.3404024769.

The spelling of 359941920 in words is "three hundred fifty-nine million, nine hundred forty-one thousand, nine hundred twenty".