1278417888 has 288 divisors, whose sum is σ = 4250413440. Its totient is φ = 360391680.

The previous prime is 1278417887. The next prime is 1278417923. The reversal of 1278417888 is 8887148721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278417883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4032706 + ... + 4033022.

It is an arithmetic number, because the mean of its divisors is an integer number (14758380).

Almost surely, 2^1278417888 is an apocalyptic number.

1278417888 is a gapful number since it is divisible by the number (18) 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 1278417888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125206720).

1278417888 is an abundant number, since it is smaller than the sum of its proper divisors (2971995552).

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

1278417888 is a wasteful number, since it uses less digits than its factorization.

1278417888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 54.

The square root of 1278417888 is about 35754.9701160552. The cubic root of 1278417888 is about 1085.3195171301.

The spelling of 1278417888 in words is "one billion, two hundred seventy-eight million, four hundred seventeen thousand, eight hundred eighty-eight".