1305032420 has 96 divisors (see below), whose sum is σ = 2974648320. Its totient is φ = 480416640.

The previous prime is 1305032411. The next prime is 1305032431. The reversal of 1305032420 is 242305031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1305032392 and 1305032401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7543454 + ... + 7543626.

It is an arithmetic number, because the mean of its divisors is an integer number (30985920).

Almost surely, 2^1305032420 is an apocalyptic number.

1305032420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487324160).

1305032420 is an abundant number, since it is smaller than the sum of its proper divisors (1669615900).

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

1305032420 is a wasteful number, since it uses less digits than its factorization.

1305032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1305032420 is about 36125.2324559995. The cubic root of 1305032420 is about 1092.7993639450.

Adding to 1305032420 its reverse (242305031), we get a palindrome (1547337451).

The spelling of 1305032420 in words is "one billion, three hundred five million, thirty-two thousand, four hundred twenty".