19426400 has 72 divisors (see below), whose sum is σ = 54215280. Its totient is φ = 6658560.

The previous prime is 19426397. The next prime is 19426409. The reversal of 19426400 is 462491.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 19426400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19426409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3866 + ... + 7334.

It is an arithmetic number, because the mean of its divisors is an integer number (752990).

Almost surely, 2^19426400 is an apocalyptic number.

19426400 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 19426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27107640).

19426400 is an abundant number, since it is smaller than the sum of its proper divisors (34788880).

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

19426400 is a wasteful number, since it uses less digits than its factorization.

19426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 19426400 is about 4407.5389958570. The cubic root of 19426400 is about 268.8215673832.

Adding to 19426400 its reverse (462491), we get a palindrome (19888891).

It can be divided in two parts, 194 and 26400, that multiplied together give a triangular number (5121600 = T₃₂₀₀).

The spelling of 19426400 in words is "nineteen million, four hundred twenty-six thousand, four hundred".