355135040 has 56 divisors (see below), whose sum is σ = 910727160. Its totient is φ = 131125248.

The previous prime is 355135021. The next prime is 355135043. The reversal of 355135040 is 40531553.

It can be written as a sum of positive squares in 4 ways, for example, as 19219456 + 335915584 = 4384^2 + 18328^2 .

It is a super-2 number, since 2×355135040² = 252241793271603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355135043) 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 7 ways as a sum of consecutive naturals, for example, 38525 + ... + 46844.

It is an arithmetic number, because the mean of its divisors is an integer number (16262985).

Almost surely, 2^355135040 is an apocalyptic number.

It is an amenable number.

355135040 is an abundant number, since it is smaller than the sum of its proper divisors (555592120).

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

355135040 is a wasteful number, since it uses less digits than its factorization.

355135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85399 (or 85389 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 355135040 is about 18845.0269302010. The cubic root of 355135040 is about 708.1596456572.

Adding to 355135040 its reverse (40531553), we get a palindrome (395666593).

The spelling of 355135040 in words is "three hundred fifty-five million, one hundred thirty-five thousand, forty".