195480 has 64 divisors (see below), whose sum is σ = 655200. Its totient is φ = 51840.

The previous prime is 195479. The next prime is 195493. The reversal of 195480 is 84591.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 195480.

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, 990 + ... + 1170.

2¹⁹⁵⁴⁸⁰ is an apocalyptic number.

195480 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 195480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327600).

195480 is an abundant number, since it is smaller than the sum of its proper divisors (459720).

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

195480 is a wasteful number, since it uses less digits than its factorization.

195480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

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

The square root of 195480 is about 442.1312022466. The cubic root of 195480 is about 58.0364416251.

Subtracting from 195480 its reverse (84591), we obtain a square (110889 = 333²).

It can be divided in two parts, 1 and 95480, that added together give a square (95481 = 309²).

The spelling of 195480 in words is "one hundred ninety-five thousand, four hundred eighty".