194378400 has 144 divisors (see below), whose sum is σ = 703080000. Its totient is φ = 51828480.

The previous prime is 194378399. The next prime is 194378411. The reversal of 194378400 is 4873491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17101 + ... + 26099.

It is an arithmetic number, because the mean of its divisors is an integer number (4882500).

Almost surely, 2^194378400 is an apocalyptic number.

194378400 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 194378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351540000).

194378400 is an abundant number, since it is smaller than the sum of its proper divisors (508701600).

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

194378400 is a wasteful number, since it uses less digits than its factorization.

194378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9028 (or 9009 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 194378400 is about 13941.9654281597. The cubic root of 194378400 is about 579.2721746490.

The spelling of 194378400 in words is "one hundred ninety-four million, three hundred seventy-eight thousand, four hundred".