1055806400 has 168 divisors, whose sum is σ = 2857317120. Its totient is φ = 380800000.

The previous prime is 1055806387. The next prime is 1055806417. The reversal of 1055806400 is 46085501.

It is a happy number.

It is a super-2 number, since 2×1055806400² = 2229454308561920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4206275 + ... + 4206525.

It is an arithmetic number, because the mean of its divisors is an integer number (17007840).

Almost surely, 2^1055806400 is an apocalyptic number.

1055806400 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 1055806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428658560).

1055806400 is an abundant number, since it is smaller than the sum of its proper divisors (1801510720).

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

1055806400 is a wasteful number, since it uses less digits than its factorization.

1055806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 1055806400 is about 32493.1746679206. The cubic root of 1055806400 is about 1018.2664389318.

The spelling of 1055806400 in words is "one billion, fifty-five million, eight hundred six thousand, four hundred".