1308418272 has 240 divisors, whose sum is σ = 4518914400. Its totient is φ = 363543552.

The previous prime is 1308418247. The next prime is 1308418283. The reversal of 1308418272 is 2728148031.

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 39 ways as a sum of consecutive naturals, for example, 670354 + ... + 672302.

It is an arithmetic number, because the mean of its divisors is an integer number (18828810).

Almost surely, 2^1308418272 is an apocalyptic number.

1308418272 is a gapful number since it is divisible by the number (12) 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 1308418272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259457200).

1308418272 is an abundant number, since it is smaller than the sum of its proper divisors (3210496128).

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

1308418272 is a wasteful number, since it uses less digits than its factorization.

1308418272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1998 counting only the distinct ones).

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

The square root of 1308418272 is about 36172.0648014459. The cubic root of 1308418272 is about 1093.7436218752.

The spelling of 1308418272 in words is "one billion, three hundred eight million, four hundred eighteen thousand, two hundred seventy-two".