355668440 has 64 divisors (see below), whose sum is σ = 826277760. Its totient is φ = 137697280.

The previous prime is 355668431. The next prime is 355668479. The reversal of 355668440 is 44866553.

355668440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 223889 + ... + 225471.

It is an arithmetic number, because the mean of its divisors is an integer number (12910590).

Almost surely, 2^355668440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355668440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413138880).

355668440 is an abundant number, since it is smaller than the sum of its proper divisors (470609320).

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

355668440 is a wasteful number, since it uses less digits than its factorization.

355668440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The square root of 355668440 is about 18859.1738949510. The cubic root of 355668440 is about 708.5140117026.

The spelling of 355668440 in words is "three hundred fifty-five million, six hundred sixty-eight thousand, four hundred forty".