350485056 has 280 divisors, whose sum is σ = 1138510296. Its totient is φ = 106168320.

The previous prime is 350485021. The next prime is 350485061. The reversal of 350485056 is 650584053.

It can be written as a sum of positive squares in 4 ways, for example, as 18662400 + 331822656 = 4320^2 + 18216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 350485056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3613200 + ... + 3613296.

Almost surely, 2^350485056 is an apocalyptic number.

350485056 is a gapful number since it is divisible by the number (36) 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 350485056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569255148).

350485056 is an abundant number, since it is smaller than the sum of its proper divisors (788025240).

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

350485056 is a wasteful number, since it uses less digits than its factorization.

350485056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 350485056 is about 18721.2461123719. The cubic root of 350485056 is about 705.0552785990.

It can be divided in two parts, 35048 and 5056, that added together give a palindrome (40104).

The spelling of 350485056 in words is "three hundred fifty million, four hundred eighty-five thousand, fifty-six".