1829794050 has 480 divisors, whose sum is σ = 6337689600. Its totient is φ = 382112640.

The previous prime is 1829794033. The next prime is 1829794051. The reversal of 1829794050 is 504979281.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1829793987 and 1829794005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829794051) 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 239 ways as a sum of consecutive naturals, for example, 23161911 + ... + 23161989.

It is an arithmetic number, because the mean of its divisors is an integer number (13203520).

Almost surely, 2^1829794050 is an apocalyptic number.

1829794050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1829794050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168844800).

1829794050 is an abundant number, since it is smaller than the sum of its proper divisors (4507895550).

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

1829794050 is a wasteful number, since it uses less digits than its factorization.

1829794050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1829794050 is about 42776.0920374922. The cubic root of 1829794050 is about 1223.1153137168.

The spelling of 1829794050 in words is "one billion, eight hundred twenty-nine million, seven hundred ninety-four thousand, fifty".