195240240 has 320 divisors, whose sum is σ = 768700800. Its totient is φ = 45121536.

The previous prime is 195240239. The next prime is 195240247. The reversal of 195240240 is 42042591.

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

It is not an unprimeable number, because it can be changed into a prime (195240247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 477156 + ... + 477564.

It is an arithmetic number, because the mean of its divisors is an integer number (2402190).

Almost surely, 2^195240240 is an apocalyptic number.

195240240 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 195240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384350400).

195240240 is an abundant number, since it is smaller than the sum of its proper divisors (573460560).

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

195240240 is a wasteful number, since it uses less digits than its factorization.

195240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 195240240 is about 13972.8393678593. The cubic root of 195240240 is about 580.1270431177.

The spelling of 195240240 in words is "one hundred ninety-five million, two hundred forty thousand, two hundred forty".