1053304200 has 144 divisors (see below), whose sum is σ = 3809534820. Its totient is φ = 259269120.

The previous prime is 1053304177. The next prime is 1053304211. The reversal of 1053304200 is 24033501.

It can be written as a sum of positive squares in 6 ways, for example, as 20196036 + 1033108164 = 4494^2 + 32142^2 .

It is a super-2 number, since 2×1053304200² = 2218899475475280000, which contains 22 as substring.

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

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, 894 + ... + 45906.

Almost surely, 2^1053304200 is an apocalyptic number.

1053304200 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 1053304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904767410).

1053304200 is an abundant number, since it is smaller than the sum of its proper divisors (2756230620).

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

1053304200 is a wasteful number, since it uses less digits than its factorization.

1053304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45048 (or 45036 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1053304200 is about 32454.6483573617. The cubic root of 1053304200 is about 1017.4613918024.

Adding to 1053304200 its reverse (24033501), we get a palindrome (1077337701).

The spelling of 1053304200 in words is "one billion, fifty-three million, three hundred four thousand, two hundred".