1821294800 has 60 divisors (see below), whose sum is σ = 4712263500. Its totient is φ = 672476160.

The previous prime is 1821294793. The next prime is 1821294803. The reversal of 1821294800 is 84921281.

It can be written as a sum of positive squares in 6 ways, for example, as 148157584 + 1673137216 = 12172^2 + 40904^2 .

It is a super-2 number, since 2×1821294800² = 6634229497014080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1821294803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 169925 + ... + 180324.

It is an arithmetic number, because the mean of its divisors is an integer number (78537725).

Almost surely, 2^1821294800 is an apocalyptic number.

1821294800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1821294800 is an abundant number, since it is smaller than the sum of its proper divisors (2890968700).

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

1821294800 is a wasteful number, since it uses less digits than its factorization.

1821294800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350280 (or 350269 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 1821294800 is about 42676.6306073945. The cubic root of 1821294800 is about 1221.2186157398.

The spelling of 1821294800 in words is "one billion, eight hundred twenty-one million, two hundred ninety-four thousand, eight hundred".