1313988480 has 768 divisors, whose sum is σ = 5774146560. Its totient is φ = 278691840.

The previous prime is 1313988479. The next prime is 1313988493. The reversal of 1313988480 is 848893131.

1313988480 is a `hidden beast` number, since 131 + 39 + 8 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18506845 + ... + 18506915.

It is an arithmetic number, because the mean of its divisors is an integer number (7518420).

Almost surely, 2^1313988480 is an apocalyptic number.

1313988480 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 1313988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887073280).

1313988480 is an abundant number, since it is smaller than the sum of its proper divisors (4460158080).

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

1313988480 is an equidigital number, since it uses as much as digits as its factorization.

1313988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1313988480 is about 36248.9790201048. The cubic root of 1313988480 is about 1095.2935223631.

The spelling of 1313988480 in words is "one billion, three hundred thirteen million, nine hundred eighty-eight thousand, four hundred eighty".