1295578240 has 64 divisors (see below), whose sum is σ = 3378827520. Its totient is φ = 471116800.

The previous prime is 1295578217. The next prime is 1295578253. The reversal of 1295578240 is 428755921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1295578240² = 3357045951922995200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 84976 + ... + 99055.

It is an arithmetic number, because the mean of its divisors is an integer number (52794180).

Almost surely, 2^1295578240 is an apocalyptic number.

1295578240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1295578240 is an abundant number, since it is smaller than the sum of its proper divisors (2083249280).

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

1295578240 is a wasteful number, since it uses less digits than its factorization.

1295578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184061 (or 184049 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The square root of 1295578240 is about 35994.1417455674. The cubic root of 1295578240 is about 1090.1540729937.

The spelling of 1295578240 in words is "one billion, two hundred ninety-five million, five hundred seventy-eight thousand, two hundred forty".