1047004200 has 144 divisors (see below), whose sum is σ = 3835915200. Its totient is φ = 253814400.

The previous prime is 1047004181. The next prime is 1047004201. The reversal of 1047004200 is 24007401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1047004201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6640 + ... + 46239.

It is an arithmetic number, because the mean of its divisors is an integer number (26638300).

Almost surely, 2^1047004200 is an apocalyptic number.

1047004200 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 1047004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917957600).

1047004200 is an abundant number, since it is smaller than the sum of its proper divisors (2788911000).

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

1047004200 is a wasteful number, since it uses less digits than its factorization.

1047004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52912 (or 52900 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1047004200 is about 32357.4442748496. Note that the first 3 decimals coincide. The cubic root of 1047004200 is about 1015.4287946978.

It can be divided in two parts, 104700 and 4200, that added together give a square (108900 = 330²).

The spelling of 1047004200 in words is "one billion, forty-seven million, four thousand, two hundred".