195280416 has 96 divisors (see below), whose sum is σ = 576979200. Its totient is φ = 64247040.

The previous prime is 195280409. The next prime is 195280469. The reversal of 195280416 is 614082591.

195280416 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66826 + ... + 69686.

It is an arithmetic number, because the mean of its divisors is an integer number (6010200).

Almost surely, 2^195280416 is an apocalyptic number.

195280416 is a gapful number since it is divisible by the number (16) 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 195280416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288489600).

195280416 is an abundant number, since it is smaller than the sum of its proper divisors (381698784).

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

195280416 is a wasteful number, since it uses less digits than its factorization.

195280416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 195280416 is about 13974.2769401497. The cubic root of 195280416 is about 580.1668327048.

The spelling of 195280416 in words is "one hundred ninety-five million, two hundred eighty thousand, four hundred sixteen".