1378859520 has 320 divisors, whose sum is σ = 4702199040. Its totient is φ = 344064000.

The previous prime is 1378859497. The next prime is 1378859527. The reversal of 1378859520 is 259588731.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1378859520.

It is not an unprimeable number, because it can be changed into a prime (1378859527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9131445 + ... + 9131595.

It is an arithmetic number, because the mean of its divisors is an integer number (14694372).

Almost surely, 2^1378859520 is an apocalyptic number.

1378859520 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 1378859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351099520).

1378859520 is an abundant number, since it is smaller than the sum of its proper divisors (3323339520).

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

1378859520 is a wasteful number, since it uses less digits than its factorization.

1378859520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 1378859520 is about 37132.9977243960. The cubic root of 1378859520 is about 1113.0294970504.

The spelling of 1378859520 in words is "one billion, three hundred seventy-eight million, eight hundred fifty-nine thousand, five hundred twenty".