1049960800 has 288 divisors, whose sum is σ = 3189170880. Its totient is φ = 329318400.

The previous prime is 1049960789. The next prime is 1049960801. The reversal of 1049960800 is 80699401.

It is a super-2 number, since 2×1049960800² = 2204835363073280000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1049960800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049960801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3903066 + ... + 3903334.

It is an arithmetic number, because the mean of its divisors is an integer number (11073510).

Almost surely, 2^1049960800 is an apocalyptic number.

1049960800 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 1049960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594585440).

1049960800 is an abundant number, since it is smaller than the sum of its proper divisors (2139210080).

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

1049960800 is a wasteful number, since it uses less digits than its factorization.

1049960800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 1049960800 is about 32403.0986172619. The cubic root of 1049960800 is about 1016.3837081695.

The spelling of 1049960800 in words is "one billion, forty-nine million, nine hundred sixty thousand, eight hundred".