19450080 has 144 divisors (see below), whose sum is σ = 71547840. Its totient is φ = 4783104.

The previous prime is 19450073. The next prime is 19450121. The reversal of 19450080 is 8005491.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×19450080² = 756611224012800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 18201 + ... + 19239.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 2^19450080 is an apocalyptic number.

19450080 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 19450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773920).

19450080 is an abundant number, since it is smaller than the sum of its proper divisors (52097760).

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

19450080 is a wasteful number, since it uses less digits than its factorization.

19450080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1062 counting only the distinct ones).

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

The square root of 19450080 is about 4410.2244840824. The cubic root of 19450080 is about 268.9307505902.

The spelling of 19450080 in words is "nineteen million, four hundred fifty thousand, eighty".