1049116800 has 192 divisors, whose sum is σ = 3492365760. Its totient is φ = 276787200.

The previous prime is 1049116777. The next prime is 1049116813. The reversal of 1049116800 is 86119401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1049116800² = 2201292120084480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988270 + ... + 989330.

It is an arithmetic number, because the mean of its divisors is an integer number (18189405).

Almost surely, 2^1049116800 is an apocalyptic number.

1049116800 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 1049116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746182880).

1049116800 is an abundant number, since it is smaller than the sum of its proper divisors (2443248960).

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

1049116800 is a wasteful number, since it uses less digits than its factorization.

1049116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1049116800 is about 32390.0725531759. The cubic root of 1049116800 is about 1016.1112986965. Note that the first 3 decimals are identical.

The spelling of 1049116800 in words is "one billion, forty-nine million, one hundred sixteen thousand, eight hundred".