191412480 has 144 divisors (see below), whose sum is σ = 698753664. Its totient is φ = 43745280.

The previous prime is 191412437. The next prime is 191412491. The reversal of 191412480 is 84214191.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23320 + ... + 30440.

It is an arithmetic number, because the mean of its divisors is an integer number (4852456).

Almost surely, 2^191412480 is an apocalyptic number.

191412480 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 191412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349376832).

191412480 is an abundant number, since it is smaller than the sum of its proper divisors (507341184).

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

191412480 is an equidigital number, since it uses as much as digits as its factorization.

191412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 191412480 is about 13835.1899155740. The cubic root of 191412480 is about 576.3107890693.

The spelling of 191412480 in words is "one hundred ninety-one million, four hundred twelve thousand, four hundred eighty".