195980400 has 540 divisors, whose sum is σ = 871611624. Its totient is φ = 40320000.

The previous prime is 195980363. The next prime is 195980413. The reversal of 195980400 is 4089591.

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 107 ways as a sum of consecutive naturals, for example, 1940350 + ... + 1940450.

Almost surely, 2^195980400 is an apocalyptic number.

195980400 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 195980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435805812).

195980400 is an abundant number, since it is smaller than the sum of its proper divisors (675631224).

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

195980400 is a wasteful number, since it uses less digits than its factorization.

195980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 195980400 is about 13999.2999824991. The cubic root of 195980400 is about 580.8592100918.

The spelling of 195980400 in words is "one hundred ninety-five million, nine hundred eighty thousand, four hundred".