1355220304 has 40 divisors (see below), whose sum is σ = 2717326080. Its totient is φ = 654086400.

The previous prime is 1355220301. The next prime is 1355220313. The reversal of 1355220304 is 4030225531.

1355220304 = T₅₃₅₂ + T₅₃₅₃ + ... + T₅₄₄₄.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355220301) by changing a digit.

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, 204564 + ... + 211084.

It is an arithmetic number, because the mean of its divisors is an integer number (67933152).

Almost surely, 2^1355220304 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 1355220304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358663040).

1355220304 is an abundant number, since it is smaller than the sum of its proper divisors (1362105776).

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

1355220304 is a wasteful number, since it uses less digits than its factorization.

1355220304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6979 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 1355220304 is about 36813.3169383037. The cubic root of 1355220304 is about 1106.6321924391.

Adding to 1355220304 its reverse (4030225531), we get a palindrome (5385445835).

It can be divided in two parts, 13552 and 20304, that added together give a square (33856 = 184²).

The spelling of 1355220304 in words is "one billion, three hundred fifty-five million, two hundred twenty thousand, three hundred four".