350250912400 has 135 divisors (see below), whose sum is σ = 851811574971. Its totient is φ = 138400657920.

The previous prime is 350250912377. The next prime is 350250912481. The reversal of 350250912400 is 4219052053.

The square root of 350250912400 is 591820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 68977668496 + 281273243904 = 262636^2 + 530352^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1503222684 + ... + 1503222916.

Almost surely, 2^350250912400 is an apocalyptic number.

350250912400 is the 591820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350250912400

350250912400 is an abundant number, since it is smaller than the sum of its proper divisors (501560662571).

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

350250912400 is an equidigital number, since it uses as much as digits as its factorization.

350250912400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 350250912400 its reverse (4219052053), we get a palindrome (354469964453).

The spelling of 350250912400 in words is "three hundred fifty billion, two hundred fifty million, nine hundred twelve thousand, four hundred".