350507408 has 20 divisors (see below), whose sum is σ = 680380188. Its totient is φ = 174925440.

The previous prime is 350507393. The next prime is 350507413. The reversal of 350507408 is 804705053.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80496784 + 270010624 = 8972^2 + 16432^2 .

It is a super-3 number, since 3×350507408³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11591 + ... + 28902.

Almost surely, 2^350507408 is an apocalyptic number.

It is an amenable number.

350507408 is a deficient number, since it is larger than the sum of its proper divisors (329872780).

350507408 is a wasteful number, since it uses less digits than its factorization.

350507408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41042 (or 41036 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 350507408 is about 18721.8430716636. The cubic root of 350507408 is about 705.0702664568.

The spelling of 350507408 in words is "three hundred fifty million, five hundred seven thousand, four hundred eight".