1049944800 has 144 divisors (see below), whose sum is σ = 3437873712. Its totient is φ = 278323200.

The previous prime is 1049944799. The next prime is 1049944829. The reversal of 1049944800 is 84499401.

1049944800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1049944800² = 2204768166094080000, which contains 22 as substring.

It is a congruent number.

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, 433192 + ... + 435608.

It is an arithmetic number, because the mean of its divisors is an integer number (23874123).

Almost surely, 2^1049944800 is an apocalyptic number.

1049944800 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 1049944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718936856).

1049944800 is an abundant number, since it is smaller than the sum of its proper divisors (2387928912).

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

1049944800 is a wasteful number, since it uses less digits than its factorization.

1049944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1049944800 is about 32402.8517263527. The cubic root of 1049944800 is about 1016.3785453666.

The spelling of 1049944800 in words is "one billion, forty-nine million, nine hundred forty-four thousand, eight hundred".