359299920 has 160 divisors (see below), whose sum is σ = 1314201600. Its totient is φ = 79464960.

The previous prime is 359299907. The next prime is 359299921. The reversal of 359299920 is 29992953.

359299920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 359299920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359299921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48631 + ... + 55529.

It is an arithmetic number, because the mean of its divisors is an integer number (8213760).

Almost surely, 2^359299920 is an apocalyptic number.

359299920 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 359299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657100800).

359299920 is an abundant number, since it is smaller than the sum of its proper divisors (954901680).

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

359299920 is a wasteful number, since it uses less digits than its factorization.

359299920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6953 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 48.

The square root of 359299920 is about 18955.2082552527. The cubic root of 359299920 is about 710.9172302026.

The spelling of 359299920 in words is "three hundred fifty-nine million, two hundred ninety-nine thousand, nine hundred twenty".