350827400 has 288 divisors, whose sum is σ = 1088472000. Its totient is φ = 102643200.

The previous prime is 350827357. The next prime is 350827417. The reversal of 350827400 is 4728053.

It is a happy number.

350827400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3218546 + ... + 3218654.

Almost surely, 2^350827400 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 350827400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544236000).

350827400 is an abundant number, since it is smaller than the sum of its proper divisors (737644600).

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

350827400 is a wasteful number, since it uses less digits than its factorization.

350827400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 350827400 is about 18730.3870755519. The cubic root of 350827400 is about 705.2847633226.

The spelling of 350827400 in words is "three hundred fifty million, eight hundred twenty-seven thousand, four hundred".