1378580256 has 192 divisors, whose sum is σ = 4230455040. Its totient is φ = 435916800.

The previous prime is 1378580239. The next prime is 1378580263. The reversal of 1378580256 is 6520858731.

1378580256 is a `hidden beast` number, since 13 + 7 + 8 + 580 + 2 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3437656 + ... + 3438056.

It is an arithmetic number, because the mean of its divisors is an integer number (22033620).

Almost surely, 2^1378580256 is an apocalyptic number.

1378580256 is a gapful number since it is divisible by the number (16) 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 1378580256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115227520).

1378580256 is an abundant number, since it is smaller than the sum of its proper divisors (2851874784).

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

1378580256 is a wasteful number, since it uses less digits than its factorization.

1378580256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1378580256 is about 37129.2372127411. The cubic root of 1378580256 is about 1112.9543503919.

The spelling of 1378580256 in words is "one billion, three hundred seventy-eight million, five hundred eighty thousand, two hundred fifty-six".