1683454752 has 480 divisors, whose sum is σ = 6065224704. Its totient is φ = 447897600.

The previous prime is 1683454693. The next prime is 1683454781. The reversal of 1683454752 is 2574543861.

It is a junction number, because it is equal to n+sod(n) for n = 1683454698 and 1683454707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23060988 + ... + 23061060.

Almost surely, 2^1683454752 is an apocalyptic number.

1683454752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683454752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032612352).

1683454752 is an abundant number, since it is smaller than the sum of its proper divisors (4381769952).

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

1683454752 is a wasteful number, since it uses less digits than its factorization.

1683454752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 1683454752 is about 41029.9250791419. The cubic root of 1683454752 is about 1189.5987046958.

The spelling of 1683454752 in words is "one billion, six hundred eighty-three million, four hundred fifty-four thousand, seven hundred fifty-two".