359434240 has 96 divisors (see below), whose sum is σ = 941129280. Its totient is φ = 130662400.

The previous prime is 359434237. The next prime is 359434277. The reversal of 359434240 is 42434953.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 359434196 and 359434205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111045 + ... + 114235.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2^359434240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

359434240 is an abundant number, since it is smaller than the sum of its proper divisors (581695040).

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

359434240 is a wasteful number, since it uses less digits than its factorization.

359434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 359434240 is about 18958.7510137140. The cubic root of 359434240 is about 711.0058084814.

The spelling of 359434240 in words is "three hundred fifty-nine million, four hundred thirty-four thousand, two hundred forty".