1378460160 has 960 divisors, whose sum is σ = 6381555840. Its totient is φ = 278691840.

The previous prime is 1378460143. The next prime is 1378460183. The reversal of 1378460160 is 610648731.

1378460160 is a `hidden beast` number, since 1 + 37 + 8 + 460 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37255662 + ... + 37255698.

It is an arithmetic number, because the mean of its divisors is an integer number (6647454).

Almost surely, 2^1378460160 is an apocalyptic number.

1378460160 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 1378460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190777920).

1378460160 is an abundant number, since it is smaller than the sum of its proper divisors (5003095680).

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

1378460160 is a wasteful number, since it uses less digits than its factorization.

1378460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1378460160 is about 37127.6199075567. The cubic root of 1378460160 is about 1112.9220308500.

The spelling of 1378460160 in words is "one billion, three hundred seventy-eight million, four hundred sixty thousand, one hundred sixty".