1809829350 has 144 divisors (see below), whose sum is σ = 5884096608. Its totient is φ = 389329920.

The previous prime is 1809829289. The next prime is 1809829369. The reversal of 1809829350 is 539289081.

It is a happy number.

It is a super-2 number, since 2×1809829350² = 6550964552242845000, which contains 22 as substring.

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 = 1809829296 and 1809829305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36652 + ... + 70448.

It is an arithmetic number, because the mean of its divisors is an integer number (40861782).

Almost surely, 2^1809829350 is an apocalyptic number.

1809829350 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 1809829350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942048304).

1809829350 is an abundant number, since it is smaller than the sum of its proper divisors (4074267258).

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

1809829350 is a wasteful number, since it uses less digits than its factorization.

1809829350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33839 (or 33831 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1809829350 is about 42542.0891588554. The cubic root of 1809829350 is about 1218.6506064900.

The spelling of 1809829350 in words is "one billion, eight hundred nine million, eight hundred twenty-nine thousand, three hundred fifty".