1683413424 has 540 divisors, whose sum is σ = 6402293352. Its totient is φ = 408038400.

The previous prime is 1683413419. The next prime is 1683413443. The reversal of 1683413424 is 4243143861.

It is a super-2 number, since 2×1683413424² = 5667761512206807552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 41058844 + ... + 41058884.

Almost surely, 2^1683413424 is an apocalyptic number.

1683413424 is a gapful number since it is divisible by the number (14) 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 1683413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201146676).

1683413424 is an abundant number, since it is smaller than the sum of its proper divisors (4718879928).

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

1683413424 is a wasteful number, since it uses less digits than its factorization.

1683413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 87 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 1683413424 is about 41029.4214436421. The cubic root of 1683413424 is about 1189.5889699252.

The spelling of 1683413424 in words is "one billion, six hundred eighty-three million, four hundred thirteen thousand, four hundred twenty-four".