1303282920 has 64 divisors (see below), whose sum is σ = 3923766720. Its totient is φ = 346305024.

The previous prime is 1303282913. The next prime is 1303282921. The reversal of 1303282920 is 292823031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1303282921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14772 + ... + 53148.

It is an arithmetic number, because the mean of its divisors is an integer number (61308855).

Almost surely, 2^1303282920 is an apocalyptic number.

1303282920 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 1303282920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961883360).

1303282920 is an abundant number, since it is smaller than the sum of its proper divisors (2620483800).

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

1303282920 is a wasteful number, since it uses less digits than its factorization.

1303282920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38674 (or 38670 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1303282920 is about 36101.0099581715. The cubic root of 1303282920 is about 1092.3108173452.

The spelling of 1303282920 in words is "one billion, three hundred three million, two hundred eighty-two thousand, nine hundred twenty".