1295562240 has 480 divisors, whose sum is σ = 5323855680. Its totient is φ = 284884992.

The previous prime is 1295562217. The next prime is 1295562241. The reversal of 1295562240 is 422655921.

1295562240 is a `hidden beast` number, since 1 + 2 + 95 + 562 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1295562195 and 1295562204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295562241) 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, 4676982 + ... + 4677258.

It is an arithmetic number, because the mean of its divisors is an integer number (11091366).

Almost surely, 2^1295562240 is an apocalyptic number.

1295562240 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 1295562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661927840).

1295562240 is an abundant number, since it is smaller than the sum of its proper divisors (4028293440).

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

1295562240 is a wasteful number, since it uses less digits than its factorization.

1295562240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1295562240 is about 35993.9194864910. The cubic root of 1295562240 is about 1090.1495852840.

The spelling of 1295562240 in words is "one billion, two hundred ninety-five million, five hundred sixty-two thousand, two hundred forty".