1301208480 has 576 divisors, whose sum is σ = 5349576960. Its totient is φ = 283852800.

The previous prime is 1301208439. The next prime is 1301208497. The reversal of 1301208480 is 848021031.

1301208480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 14620276 + ... + 14620364.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2^1301208480 is an apocalyptic number.

1301208480 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 1301208480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674788480).

1301208480 is an abundant number, since it is smaller than the sum of its proper divisors (4048368480).

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

1301208480 is a wasteful number, since it uses less digits than its factorization.

1301208480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1301208480 is about 36072.2674640783. The cubic root of 1301208480 is about 1091.7309645972.

The spelling of 1301208480 in words is "one billion, three hundred one million, two hundred eight thousand, four hundred eighty".