195420432 has 80 divisors (see below), whose sum is σ = 522466560. Its totient is φ = 62899200.

The previous prime is 195420431. The next prime is 195420437. The reversal of 195420432 is 234024591.

It is a super-3 number, since 3×195420432³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 195420432.

It is not an unprimeable number, because it can be changed into a prime (195420431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214057 + ... + 214967.

It is an arithmetic number, because the mean of its divisors is an integer number (6530832).

Almost surely, 2^195420432 is an apocalyptic number.

195420432 is a gapful number since it is divisible by the number (12) 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 195420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261233280).

195420432 is an abundant number, since it is smaller than the sum of its proper divisors (327046128).

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

195420432 is a wasteful number, since it uses less digits than its factorization.

195420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 195420432 is about 13979.2858186676. The cubic root of 195420432 is about 580.3054593936.

The spelling of 195420432 in words is "one hundred ninety-five million, four hundred twenty thousand, four hundred thirty-two".