19780480 has 64 divisors (see below), whose sum is σ = 48862080. Its totient is φ = 7649280.

The previous prime is 19780457. The next prime is 19780487. The reversal of 19780480 is 8408791.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19780487) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19342 + ... + 20338.

It is an arithmetic number, because the mean of its divisors is an integer number (763470).

Almost surely, 2^19780480 is an apocalyptic number.

19780480 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 19780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24431040).

19780480 is an abundant number, since it is smaller than the sum of its proper divisors (29081600).

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

19780480 is an equidigital number, since it uses as much as digits as its factorization.

19780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 19780480 is about 4447.5251545101. The cubic root of 19780480 is about 270.4449909381. Note that the first 3 decimals are identical.

The spelling of 19780480 in words is "nineteen million, seven hundred eighty thousand, four hundred eighty".