1303428480 has 256 divisors, whose sum is σ = 4371148800. Its totient is φ = 329932800.

The previous prime is 1303428433. The next prime is 1303428491. The reversal of 1303428480 is 848243031.

It is a super-2 number, since 2×1303428480² = 3397851604950220800, which contains 22 as substring.

It is a congruent number.

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, 3630541 + ... + 3630899.

It is an arithmetic number, because the mean of its divisors is an integer number (17074800).

Almost surely, 2^1303428480 is an apocalyptic number.

1303428480 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 1303428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185574400).

1303428480 is an abundant number, since it is smaller than the sum of its proper divisors (3067720320).

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

1303428480 is a wasteful number, since it uses less digits than its factorization.

1303428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1303428480 is about 36103.0259119648. The cubic root of 1303428480 is about 1092.3514815379.

It can be divided in two parts, 13034 and 28480, that added together give a palindrome (41514).

The spelling of 1303428480 in words is "one billion, three hundred three million, four hundred twenty-eight thousand, four hundred eighty".