19982400 has 168 divisors, whose sum is σ = 68787264. Its totient is φ = 5068800.

The previous prime is 19982399. The next prime is 19982407. The reversal of 19982400 is 428991.

It is not an unprimeable number, because it can be changed into a prime (19982407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110310 + ... + 110490.

It is an arithmetic number, because the mean of its divisors is an integer number (409448).

Almost surely, 2^19982400 is an apocalyptic number.

19982400 is a gapful number since it is divisible by the number (10) 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 19982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34393632).

19982400 is an abundant number, since it is smaller than the sum of its proper divisors (48804864).

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

19982400 is a wasteful number, since it uses less digits than its factorization.

19982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 19982400 is about 4470.1677820860. The cubic root of 19982400 is about 271.3621153753.

The spelling of 19982400 in words is "nineteen million, nine hundred eighty-two thousand, four hundred".