19905480 has 128 divisors (see below), whose sum is σ = 75859200. Its totient is φ = 4548096.

The previous prime is 19905451. The next prime is 19905481. The reversal of 19905480 is 8450991.

It is a super-3 number, since 3×19905480³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19905481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6244 + ... + 8876.

It is an arithmetic number, because the mean of its divisors is an integer number (592650).

Almost surely, 2^19905480 is an apocalyptic number.

19905480 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 19905480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37929600).

19905480 is an abundant number, since it is smaller than the sum of its proper divisors (55953720).

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

19905480 is a wasteful number, since it uses less digits than its factorization.

19905480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 19905480 is about 4461.5557824597. Note that the first 3 decimals coincide. The cubic root of 19905480 is about 271.0134749998.

The spelling of 19905480 in words is "nineteen million, nine hundred five thousand, four hundred eighty".