1295874720 has 192 divisors, whose sum is σ = 5183619840. Its totient is φ = 296193024.

The previous prime is 1295874719. The next prime is 1295874721. The reversal of 1295874720 is 274785921.

It is a happy number.

1295874720 is a `hidden beast` number, since 1 + 2 + 9 + 587 + 47 + 20 = 666.

1295874720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1295874719) and next prime (1295874721).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1295874721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8814 + ... + 51666.

It is an arithmetic number, because the mean of its divisors is an integer number (26998020).

Almost surely, 2^1295874720 is an apocalyptic number.

1295874720 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 1295874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591809920).

1295874720 is an abundant number, since it is smaller than the sum of its proper divisors (3887745120).

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

1295874720 is a wasteful number, since it uses less digits than its factorization.

1295874720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42884 (or 42870 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1295874720 is about 35998.2599579480. The cubic root of 1295874720 is about 1090.2372235691.

It can be divided in two parts, 12958 and 74720, that added together give a palindrome (87678).

The spelling of 1295874720 in words is "one billion, two hundred ninety-five million, eight hundred seventy-four thousand, seven hundred twenty".