1295057280 has 256 divisors, whose sum is σ = 4769487360. Its totient is φ = 295403520.

The previous prime is 1295057243. The next prime is 1295057287. The reversal of 1295057280 is 827505921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295057287) 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, 357237 + ... + 360843.

It is an arithmetic number, because the mean of its divisors is an integer number (18630810).

Almost surely, 2^1295057280 is an apocalyptic number.

1295057280 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 1295057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384743680).

1295057280 is an abundant number, since it is smaller than the sum of its proper divisors (3474430080).

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

1295057280 is a wasteful number, since it uses less digits than its factorization.

1295057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 1295057280 is about 35986.9042847534. The cubic root of 1295057280 is about 1090.0079341790.

The spelling of 1295057280 in words is "one billion, two hundred ninety-five million, fifty-seven thousand, two hundred eighty".