1295800416 has 84 divisors (see below), whose sum is σ = 3824979732. Its totient is φ = 431925696.

The previous prime is 1295800409. The next prime is 1295800447. The reversal of 1295800416 is 6140085921.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4446 + ... + 51101.

It is an arithmetic number, because the mean of its divisors is an integer number (45535473).

Almost surely, 2^1295800416 is an apocalyptic number.

1295800416 is a gapful number since it is divisible by the number (16) 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 1295800416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912489866).

1295800416 is an abundant number, since it is smaller than the sum of its proper divisors (2529179316).

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

1295800416 is an frugal number, since it uses more digits than its factorization.

1295800416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55575 (or 55552 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1295800416 is about 35997.2278932698. The cubic root of 1295800416 is about 1090.2163855118.

The spelling of 1295800416 in words is "one billion, two hundred ninety-five million, eight hundred thousand, four hundred sixteen".