1820414304 has 192 divisors, whose sum is σ = 5601415680. Its totient is φ = 574041600.

The previous prime is 1820414291. The next prime is 1820414329. The reversal of 1820414304 is 4034140281.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2006619 + ... + 2007525.

It is an arithmetic number, because the mean of its divisors is an integer number (29174040).

Almost surely, 2^1820414304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800707840).

1820414304 is an abundant number, since it is smaller than the sum of its proper divisors (3781001376).

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

1820414304 is a wasteful number, since it uses less digits than its factorization.

1820414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1820414304 is about 42666.3134568713. The cubic root of 1820414304 is about 1221.0217866429.

Adding to 1820414304 its reverse (4034140281), we get a palindrome (5854554585).

The spelling of 1820414304 in words is "one billion, eight hundred twenty million, four hundred fourteen thousand, three hundred four".