19485000 has 120 divisors (see below), whose sum is σ = 66096030. Its totient is φ = 5184000.

The previous prime is 19484989. The next prime is 19485001. The reversal of 19485000 is 58491.

It can be written as a sum of positive squares in 5 ways, for example, as 248004 + 19236996 = 498^2 + 4386^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×19485000³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19485001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44784 + ... + 45216.

Almost surely, 2^19485000 is an apocalyptic number.

19485000 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 19485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33048015).

19485000 is an abundant number, since it is smaller than the sum of its proper divisors (46611030).

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

19485000 is a wasteful number, since it uses less digits than its factorization.

19485000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 19485000 is about 4414.1816908686. The cubic root of 19485000 is about 269.0915973542.

The spelling of 19485000 in words is "nineteen million, four hundred eighty-five thousand".