190414080 has 108 divisors (see below), whose sum is σ = 658852740. Its totient is φ = 50774016.

The previous prime is 190414057. The next prime is 190414109. The reversal of 190414080 is 80414091.

It can be written as a sum of positive squares in 2 ways, for example, as 126157824 + 64256256 = 11232^2 + 8016^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3256 + ... + 19784.

Almost surely, 2^190414080 is an apocalyptic number.

190414080 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 190414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329426370).

190414080 is an abundant number, since it is smaller than the sum of its proper divisors (468438660).

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

190414080 is a wasteful number, since it uses less digits than its factorization.

190414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16556 (or 16539 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 190414080 is about 13799.0608376078. The cubic root of 190414080 is about 575.3070370282.

The spelling of 190414080 in words is "one hundred ninety million, four hundred fourteen thousand, eighty".