191448000 has 168 divisors, whose sum is σ = 685098960. Its totient is φ = 51033600.

The previous prime is 191447987. The next prime is 191448013. The reversal of 191448000 is 844191.

It is an interprime number because it is at equal distance from previous prime (191447987) and next prime (191448013).

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, 70671 + ... + 73329.

It is an arithmetic number, because the mean of its divisors is an integer number (4077970).

Almost surely, 2^191448000 is an apocalyptic number.

191448000 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 191448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342549480).

191448000 is an abundant number, since it is smaller than the sum of its proper divisors (493650960).

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

191448000 is a wasteful number, since it uses less digits than its factorization.

191448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2669 counting only the distinct ones).

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

The square root of 191448000 is about 13836.4735391645. The cubic root of 191448000 is about 576.3464351134.

The spelling of 191448000 in words is "one hundred ninety-one million, four hundred forty-eight thousand".