19421300 has 72 divisors (see below), whose sum is σ = 45023160. Its totient is φ = 7257600.

The previous prime is 19421239. The next prime is 19421323. The reversal of 19421300 is 312491.

It can be written as a sum of positive squares in 12 ways, for example, as 6832996 + 12588304 = 2614^2 + 3548^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107210 + ... + 107390.

Almost surely, 2^19421300 is an apocalyptic number.

19421300 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 19421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22511580).

19421300 is an abundant number, since it is smaller than the sum of its proper divisors (25601860).

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

19421300 is a wasteful number, since it uses less digits than its factorization.

19421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 19421300 is about 4406.9604037250. The cubic root of 19421300 is about 268.7980408080.

Adding to 19421300 its reverse (312491), we get a palindrome (19733791).

The spelling of 19421300 in words is "nineteen million, four hundred twenty-one thousand, three hundred".