350461441 has 32 divisors (see below), whose sum is σ = 413683200. Its totient is φ = 293546880.

The previous prime is 350461429. The next prime is 350461457. The reversal of 350461441 is 144164053.

350461441 = 16³ + 17³ + ... + 193³.

It is not a de Polignac number, because 350461441 - 2¹⁷ = 350330369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (350461421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1543770 + ... + 1543996.

It is an arithmetic number, because the mean of its divisors is an integer number (12927600).

Almost surely, 2^350461441 is an apocalyptic number.

It is an amenable number.

350461441 is a deficient number, since it is larger than the sum of its proper divisors (63221759).

350461441 is a wasteful number, since it uses less digits than its factorization.

350461441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 350461441 is about 18720.6154012094. The cubic root of 350461441 is about 705.0394431598.

The spelling of 350461441 in words is "three hundred fifty million, four hundred sixty-one thousand, four hundred forty-one".