1301010480 has 480 divisors, whose sum is σ = 5630496768. Its totient is φ = 261273600.

The previous prime is 1301010467. The next prime is 1301010481. The reversal of 1301010480 is 840101031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1301010481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1718262 + ... + 1719018.

Almost surely, 2^1301010480 is an apocalyptic number.

1301010480 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 1301010480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815248384).

1301010480 is an abundant number, since it is smaller than the sum of its proper divisors (4329486288).

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

1301010480 is a wasteful number, since it uses less digits than its factorization.

1301010480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1301010480 is about 36069.5228690372. The cubic root of 1301010480 is about 1091.6755869235.

The spelling of 1301010480 in words is "one billion, three hundred one million, ten thousand, four hundred eighty".