355215040 has 56 divisors (see below), whose sum is σ = 847721952. Its totient is φ = 141772800.

The previous prime is 355215011. The next prime is 355215071. The reversal of 355215040 is 40512553.

It is a junction number, because it is equal to n+sod(n) for n = 355214996 and 355215014.

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 7 ways as a sum of consecutive naturals, for example, 191397 + ... + 193243.

It is an arithmetic number, because the mean of its divisors is an integer number (15137892).

Almost surely, 2^355215040 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 355215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423860976).

355215040 is an abundant number, since it is smaller than the sum of its proper divisors (492506912).

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

355215040 is a wasteful number, since it uses less digits than its factorization.

355215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 355215040 is about 18847.1493865783. The cubic root of 355215040 is about 708.2128165282.

Adding to 355215040 its reverse (40512553), we get a palindrome (395727593).

The spelling of 355215040 in words is "three hundred fifty-five million, two hundred fifteen thousand, forty".