1378608480 has 144 divisors (see below), whose sum is σ = 4722629184. Its totient is φ = 366213120.

The previous prime is 1378608461. The next prime is 1378608563. The reversal of 1378608480 is 848068731.

1378608480 is a `hidden beast` number, since 1 + 37 + 8 + 608 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1378608480² = 3801122682255820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402937 + ... + 406343.

It is an arithmetic number, because the mean of its divisors is an integer number (32796036).

Almost surely, 2^1378608480 is an apocalyptic number.

1378608480 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 1378608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361314592).

1378608480 is an abundant number, since it is smaller than the sum of its proper divisors (3344020704).

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

1378608480 is a wasteful number, since it uses less digits than its factorization.

1378608480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1378608480 is about 37129.6172886282. The cubic root of 1378608480 is about 1112.9619455994.

The spelling of 1378608480 in words is "one billion, three hundred seventy-eight million, six hundred eight thousand, four hundred eighty".