353641040 has 20 divisors (see below), whose sum is σ = 822215604. Its totient is φ = 141456384.

The previous prime is 353641039. The next prime is 353641061. The reversal of 353641040 is 40146353.

It can be written as a sum of positive squares in 2 ways, for example, as 261404224 + 92236816 = 16168^2 + 9604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2210177 + ... + 2210336.

Almost surely, 2^353641040 is an apocalyptic number.

It is an amenable number.

353641040 is an abundant number, since it is smaller than the sum of its proper divisors (468574564).

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

353641040 is a wasteful number, since it uses less digits than its factorization.

353641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420526 (or 4420520 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 353641040 is about 18805.3460483980. The cubic root of 353641040 is about 707.1652092963.

Adding to 353641040 its reverse (40146353), we get a palindrome (393787393).

The spelling of 353641040 in words is "three hundred fifty-three million, six hundred forty-one thousand, forty".