19129400 has 48 divisors (see below), whose sum is σ = 44963640. Its totient is φ = 7568000.

The previous prime is 19129381. The next prime is 19129427. The reversal of 19129400 is 492191.

It is a self number, because there is not a number n which added to its sum of digits gives 19129400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19727 + ... + 20673.

Almost surely, 2^19129400 is an apocalyptic number.

19129400 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 19129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22481820).

19129400 is an abundant number, since it is smaller than the sum of its proper divisors (25834240).

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

19129400 is a wasteful number, since it uses less digits than its factorization.

19129400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 19129400 is about 4373.7169547194. The cubic root of 19129400 is about 267.4445688271. Note that the first 3 decimals are identical.

The spelling of 19129400 in words is "nineteen million, one hundred twenty-nine thousand, four hundred".