1295278560 has 384 divisors, whose sum is σ = 4755179520. Its totient is φ = 329011200.

The previous prime is 1295278559. The next prime is 1295278577. The reversal of 1295278560 is 658725921.

1295278560 is a `hidden beast` number, since 12 + 9 + 5 + 2 + 78 + 560 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12575469 + ... + 12575571.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2^1295278560 is an apocalyptic number.

1295278560 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 1295278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377589760).

1295278560 is an abundant number, since it is smaller than the sum of its proper divisors (3459900960).

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

1295278560 is a wasteful number, since it uses less digits than its factorization.

1295278560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1295278560 is about 35989.9786051617. The cubic root of 1295278560 is about 1090.0700120560.

The spelling of 1295278560 in words is "one billion, two hundred ninety-five million, two hundred seventy-eight thousand, five hundred sixty".