1303636480 has 80 divisors (see below), whose sum is σ = 3140127144. Its totient is φ = 519045120.

The previous prime is 1303636457. The next prime is 1303636501. The reversal of 1303636480 is 846363031.

It can be written as a sum of positive squares in 4 ways, for example, as 751198464 + 552438016 = 27408^2 + 23504^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615904 + ... + 618016.

Almost surely, 2^1303636480 is an apocalyptic number.

1303636480 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 1303636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570063572).

1303636480 is an abundant number, since it is smaller than the sum of its proper divisors (1836490664).

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

1303636480 is an equidigital number, since it uses as much as digits as its factorization.

1303636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 1303636480 is about 36105.9064420214. The cubic root of 1303636480 is about 1092.4095839519.

The spelling of 1303636480 in words is "one billion, three hundred three million, six hundred thirty-six thousand, four hundred eighty".