350133520 has 160 divisors (see below), whose sum is σ = 958510080. Its totient is φ = 117573120.

The previous prime is 350133517. The next prime is 350133521. The reversal of 350133520 is 25331053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 350133491 and 350133500.

It is not an unprimeable number, because it can be changed into a prime (350133521) 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, 718717 + ... + 719203.

It is an arithmetic number, because the mean of its divisors is an integer number (5990688).

Almost surely, 2^350133520 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 350133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479255040).

350133520 is an abundant number, since it is smaller than the sum of its proper divisors (608376560).

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

350133520 is a wasteful number, since it uses less digits than its factorization.

350133520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 350133520 is about 18711.8550657063. The cubic root of 350133520 is about 704.8194766063.

Adding to 350133520 its reverse (25331053), we get a palindrome (375464573).

The spelling of 350133520 in words is "three hundred fifty million, one hundred thirty-three thousand, five hundred twenty".