350205450 has 288 divisors, whose sum is σ = 1099215360. Its totient is φ = 73382400.

The previous prime is 350205439. The next prime is 350205463. The reversal of 350205450 is 54502053.

It is a self number, because there is not a number n which added to its sum of digits gives 350205450.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6607624 + ... + 6607676.

It is an arithmetic number, because the mean of its divisors is an integer number (3816720).

Almost surely, 2^350205450 is an apocalyptic number.

350205450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 350205450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549607680).

350205450 is an abundant number, since it is smaller than the sum of its proper divisors (749009910).

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

350205450 is a wasteful number, since it uses less digits than its factorization.

350205450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 350205450 is about 18713.7770105342. Note that the first 3 decimals coincide. The cubic root of 350205450 is about 704.8677383796.

It can be divided in two parts, 35020 and 5450, that added together give a triangular number (40470 = T₂₈₄).

The spelling of 350205450 in words is "three hundred fifty million, two hundred five thousand, four hundred fifty".