195864480 has 480 divisors, whose sum is σ = 843042816. Its totient is φ = 41803776.

The previous prime is 195864469. The next prime is 195864499. The reversal of 195864480 is 84468591.

195864480 is a `hidden beast` number, since 1 + 95 + 86 + 4 + 480 = 666.

195864480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1542177 + ... + 1542303.

Almost surely, 2^195864480 is an apocalyptic number.

195864480 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 195864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421521408).

195864480 is an abundant number, since it is smaller than the sum of its proper divisors (647178336).

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

195864480 is a wasteful number, since it uses less digits than its factorization.

195864480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 195864480 is about 13995.1591630821. The cubic root of 195864480 is about 580.7446638079.

The spelling of 195864480 in words is "one hundred ninety-five million, eight hundred sixty-four thousand, four hundred eighty".