1049806800 has 180 divisors, whose sum is σ = 4163667040. Its totient is φ = 239950080.

The previous prime is 1049806777. The next prime is 1049806817. The reversal of 1049806800 is 86089401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×1049806800³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4371 + ... + 46029.

Almost surely, 2^1049806800 is an apocalyptic number.

1049806800 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 1049806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081833520).

1049806800 is an abundant number, since it is smaller than the sum of its proper divisors (3113860240).

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

1049806800 is a wasteful number, since it uses less digits than its factorization.

1049806800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41690 (or 41676 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1049806800 is about 32400.7222141729. The cubic root of 1049806800 is about 1016.3340140145.

The spelling of 1049806800 in words is "one billion, forty-nine million, eight hundred six thousand, eight hundred".