350205000 has 160 divisors (see below), whose sum is σ = 1125389760. Its totient is φ = 90720000.

The previous prime is 350204999. The next prime is 350205001. The reversal of 350205000 is 502053.

It is an interprime number because it is at equal distance from previous prime (350204999) and next prime (350205001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (350205001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 554685 + ... + 555315.

It is an arithmetic number, because the mean of its divisors is an integer number (7033686).

Almost surely, 2^350205000 is an apocalyptic number.

350205000 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 350205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562694880).

350205000 is an abundant number, since it is smaller than the sum of its proper divisors (775184760).

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

350205000 is a wasteful number, since it uses less digits than its factorization.

350205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 350205000 is about 18713.7649873028. The cubic root of 350205000 is about 704.8674364705.

Adding to 350205000 its reverse (502053), we get a palindrome (350707053).

The spelling of 350205000 in words is "three hundred fifty million, two hundred five thousand".