350528256 has 288 divisors, whose sum is σ = 1153797120. Its totient is φ = 104288256.

The previous prime is 350528231. The next prime is 350528267. The reversal of 350528256 is 652825053.

It is a happy number.

350528256 is a `hidden beast` number, since 350 + 52 + 8 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 350528256.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223191 + ... + 4223273.

It is an arithmetic number, because the mean of its divisors is an integer number (4006240).

Almost surely, 2^350528256 is an apocalyptic number.

350528256 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 350528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576898560).

350528256 is an abundant number, since it is smaller than the sum of its proper divisors (803268864).

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

350528256 is a wasteful number, since it uses less digits than its factorization.

350528256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

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

The square root of 350528256 is about 18722.3998461736. The cubic root of 350528256 is about 705.0842452517.

The spelling of 350528256 in words is "three hundred fifty million, five hundred twenty-eight thousand, two hundred fifty-six".