1303865472 has 128 divisors (see below), whose sum is σ = 4262751360. Its totient is φ = 343867392.

The previous prime is 1303865471. The next prime is 1303865501. The reversal of 1303865472 is 2745683031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1303865472.

It is not an unprimeable number, because it can be changed into a prime (1303865471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16288 + ... + 53600.

It is an arithmetic number, because the mean of its divisors is an integer number (33302745).

Almost surely, 2^1303865472 is an apocalyptic number.

1303865472 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 1303865472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131375680).

1303865472 is an abundant number, since it is smaller than the sum of its proper divisors (2958885888).

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

1303865472 is a wasteful number, since it uses less digits than its factorization.

1303865472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37350 (or 37338 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 1303865472 is about 36109.0774182892. The cubic root of 1303865472 is about 1092.4735430933.

The spelling of 1303865472 in words is "one billion, three hundred three million, eight hundred sixty-five thousand, four hundred seventy-two".