1830429006 has 96 divisors (see below), whose sum is σ = 4385041920. Its totient is φ = 507636864.

The previous prime is 1830428953. The next prime is 1830429023. The reversal of 1830429006 is 6009240381.

It is a super-2 number, since 2×1830429006² = 6700940692012296072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920226 + ... + 1921178.

It is an arithmetic number, because the mean of its divisors is an integer number (45677520).

Almost surely, 2^1830429006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1830429006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192520960).

1830429006 is an abundant number, since it is smaller than the sum of its proper divisors (2554612914).

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

1830429006 is a wasteful number, since it uses less digits than its factorization.

1830429006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1830429006 is about 42783.5132498489. The cubic root of 1830429006 is about 1223.2567749179.

Adding to 1830429006 its reverse (6009240381), we get a palindrome (7839669387).

The spelling of 1830429006 in words is "one billion, eight hundred thirty million, four hundred twenty-nine thousand, six".