1308372480 has 320 divisors, whose sum is σ = 4855403520. Its totient is φ = 333324288.

The previous prime is 1308372463. The next prime is 1308372491. The reversal of 1308372480 is 842738031.

1308372480 is a `hidden beast` number, since 1 + 30 + 83 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×1308372480³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1589349 + ... + 1590171.

It is an arithmetic number, because the mean of its divisors is an integer number (15173136).

Almost surely, 2^1308372480 is an apocalyptic number.

1308372480 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 1308372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427701760).

1308372480 is an abundant number, since it is smaller than the sum of its proper divisors (3547031040).

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

1308372480 is an equidigital number, since it uses as much as digits as its factorization.

1308372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1308372480 is about 36171.4318212592. The cubic root of 1308372480 is about 1093.7308621196.

The spelling of 1308372480 in words is "one billion, three hundred eight million, three hundred seventy-two thousand, four hundred eighty".