195478560 has 288 divisors, whose sum is σ = 717050880. Its totient is φ = 48384000.

The previous prime is 195478537. The next prime is 195478567. The reversal of 195478560 is 65874591.

195478560 is a `hidden beast` number, since 19 + 5 + 4 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (195478567) 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 47 ways as a sum of consecutive naturals, for example, 1294485 + ... + 1294635.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^195478560 is an apocalyptic number.

195478560 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 195478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440).

195478560 is an abundant number, since it is smaller than the sum of its proper divisors (521572320).

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

195478560 is a wasteful number, since it uses less digits than its factorization.

195478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 195478560 is about 13981.3647402534. The cubic root of 195478560 is about 580.3629911665.

The spelling of 195478560 in words is "one hundred ninety-five million, four hundred seventy-eight thousand, five hundred sixty".