1295058240 has 896 divisors, whose sum is σ = 5852160000. Its totient is φ = 268240896.

The previous prime is 1295058227. The next prime is 1295058241. The reversal of 1295058240 is 428505921.

1295058240 is a `hidden beast` number, since 1 + 29 + 50 + 582 + 4 + 0 = 666.

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 = 1295058195 and 1295058204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295058241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56306869 + ... + 56306891.

Almost surely, 2^1295058240 is an apocalyptic number.

1295058240 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 1295058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926080000).

1295058240 is an abundant number, since it is smaller than the sum of its proper divisors (4557101760).

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

1295058240 is a wasteful number, since it uses less digits than its factorization.

1295058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1295058240 is about 35986.9176229363. The cubic root of 1295058240 is about 1090.0082035126.

The spelling of 1295058240 in words is "one billion, two hundred ninety-five million, fifty-eight thousand, two hundred forty".