1301748480 has 432 divisors, whose sum is σ = 4993410240. Its totient is φ = 312508416.

The previous prime is 1301748421. The next prime is 1301748493. The reversal of 1301748480 is 848471031.

1301748480 is a `hidden beast` number, since 1 + 3 + 0 + 174 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56597749 + ... + 56597771.

It is an arithmetic number, because the mean of its divisors is an integer number (11558820).

Almost surely, 2^1301748480 is an apocalyptic number.

1301748480 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 1301748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496705120).

1301748480 is an abundant number, since it is smaller than the sum of its proper divisors (3691661760).

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

1301748480 is an equidigital number, since it uses as much as digits as its factorization.

1301748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1301748480 is about 36079.7516621165. The cubic root of 1301748480 is about 1091.8819660692.

The spelling of 1301748480 in words is "one billion, three hundred one million, seven hundred forty-eight thousand, four hundred eighty".