1042855200 has 216 divisors, whose sum is σ = 3698771076. Its totient is φ = 276480000.

The previous prime is 1042855193. The next prime is 1042855217. The reversal of 1042855200 is 25582401.

It is a happy number.

1042855200 is a `hidden beast` number, since 104 + 2 + 8 + 552 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 702674064 + 340181136 = 26508^2 + 18444^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1734900 + ... + 1735500.

Almost surely, 2^1042855200 is an apocalyptic number.

1042855200 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 1042855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849385538).

1042855200 is an abundant number, since it is smaller than the sum of its proper divisors (2655915876).

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

1042855200 is a wasteful number, since it uses less digits than its factorization.

1042855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1042855200 is about 32293.2686484351. The cubic root of 1042855200 is about 1014.0857273786.

The spelling of 1042855200 in words is "one billion, forty-two million, eight hundred fifty-five thousand, two hundred".