1254078288 has 80 divisors (see below), whose sum is σ = 3644211200. Its totient is φ = 418014432.

The previous prime is 1254078283. The next prime is 1254078307. The reversal of 1254078288 is 8828704521.

It is a happy number.

1254078288 is a `hidden beast` number, since 12 + 540 + 78 + 28 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254078281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17073 + ... + 52911.

It is an arithmetic number, because the mean of its divisors is an integer number (45552640).

Almost surely, 2^1254078288 is an apocalyptic number.

1254078288 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 1254078288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822105600).

1254078288 is an abundant number, since it is smaller than the sum of its proper divisors (2390132912).

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

1254078288 is an frugal number, since it uses more digits than its factorization.

1254078288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35868 (or 35844 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1254078288 is about 35412.9677942982. The cubic root of 1254078288 is about 1078.3875939264.

The spelling of 1254078288 in words is "one billion, two hundred fifty-four million, seventy-eight thousand, two hundred eighty-eight".