191265480 has 192 divisors, whose sum is σ = 721094400. Its totient is φ = 43061760.

The previous prime is 191265479. The next prime is 191265517. The reversal of 191265480 is 84562191.

191265480 is a `hidden beast` number, since 1 + 91 + 26 + 548 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178386 + ... + 179454.

It is an arithmetic number, because the mean of its divisors is an integer number (3755700).

Almost surely, 2^191265480 is an apocalyptic number.

191265480 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 191265480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360547200).

191265480 is an abundant number, since it is smaller than the sum of its proper divisors (529828920).

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

191265480 is a wasteful number, since it uses less digits than its factorization.

191265480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 191265480 is about 13829.8763551957. The cubic root of 191265480 is about 576.1632205264.

The spelling of 191265480 in words is "one hundred ninety-one million, two hundred sixty-five thousand, four hundred eighty".