1303978368 has 128 divisors (see below), whose sum is σ = 4318467840. Its totient is φ = 338688000.

The previous prime is 1303978363. The next prime is 1303978373. The reversal of 1303978368 is 8638793031.

It is an interprime number because it is at equal distance from previous prime (1303978363) and next prime (1303978373).

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303978363) 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, 7518 + ... + 51618.

It is an arithmetic number, because the mean of its divisors is an integer number (33738030).

Almost surely, 2^1303978368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159233920).

1303978368 is an abundant number, since it is smaller than the sum of its proper divisors (3014489472).

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

1303978368 is a wasteful number, since it uses less digits than its factorization.

1303978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44136 (or 44124 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 1303978368 is about 36110.6406478755. The cubic root of 1303978368 is about 1092.5050730162.

The spelling of 1303978368 in words is "one billion, three hundred three million, nine hundred seventy-eight thousand, three hundred sixty-eight".