1295956800 has 336 divisors, whose sum is σ = 4781092800. Its totient is φ = 341452800.

The previous prime is 1295956799. The next prime is 1295956811. The reversal of 1295956800 is 86595921.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5659086 + ... + 5659314.

Almost surely, 2^1295956800 is an apocalyptic number.

1295956800 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 1295956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390546400).

1295956800 is an abundant number, since it is smaller than the sum of its proper divisors (3485136000).

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

1295956800 is a wasteful number, since it uses less digits than its factorization.

1295956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 1295956800 is about 35999.3999949999. The cubic root of 1295956800 is about 1090.2602414274.

The spelling of 1295956800 in words is "one billion, two hundred ninety-five million, nine hundred fifty-six thousand, eight hundred".